PhD Miguel Brozos Vázquez  

(TIT-UN)

Department Mathematics
Knowledgment area Applied Mathematics
Research  Research group Geometría Diferencial y sus aplicaciones
Research lines Xeometría Diferencial e as súas Aplicacións
Keywords Xeometría diferencial: xeometría riemanniana, xeometría lorenziana.
Contacto UDC directory
Orcid id0000-0003-4945-9587 ResearcherIDG-2216-2018 Scopus22950093800

Teaching

Subjects taught

This section shows the teaching given in degrees, masters and other officers studies in last 6 years.

Subject and involved studies Distance hours Total hours
Differential Equations
Automation and Industrial Electronics Engineering
Degree in Electrical Engineering
0 60
Mathematics 2
Degree in Naval Architecture and Ocean Engineering
Simultaneous Program of the Degree in Mechanical Ingineering and the Degree in Naval and Ocean Engineering
0 96
Subject and involved studies Distance hours Total hours
Final Year Dissertation
Degree in Industrial Technology Engineering
0 8
Mathematics 1
Degree in Naval Architecture and Ocean Engineering
Simultaneous Program of the Degree in Mechanical Ingineering and the Degree in Naval and Ocean Engineering
0 120
Mathematics 2
Degree in Naval Architecture and Ocean Engineering
Simultaneous Program of the Degree in Mechanical Ingineering and the Degree in Naval and Ocean Engineering
0 110
Subject and involved studies Distance hours Total hours
Final Year Dissertation
Degree in Industrial Technology Engineering
0 8
Linear Algebra
Degree in Industrial Technology Engineering
Degree in Mechanical Engineering
Industrial Engineering
0 25
Mathematics 1
Degree in Naval Architecture and Ocean Engineering
Simultaneous Program of the Degree in Mechanical Ingineering and the Degree in Naval and Ocean Engineering
0 75
Mathematics 2
Degree in Naval Architecture and Ocean Engineering
Simultaneous Program of the Degree in Mechanical Ingineering and the Degree in Naval and Ocean Engineering
0 90
Subject and involved studies Distance hours Total hours
Mathematics 1
Degree in Naval Architecture and Ocean Engineering
Simultaneous Program of the Degree in Mechanical Ingineering and the Degree in Naval and Ocean Engineering
Simultaneous Program of the Degree in Mechanical Ingineering and the Degree in Naval and Ocean Engineering
0 90
Mathematics 2
Degree in Naval Architecture and Ocean Engineering
Simultaneous Program of the Degree in Mechanical Ingineering and the Degree in Naval and Ocean Engineering
0 90
Subject and involved studies Distance hours Total hours
Final Year Dissertation
Degree in Mechanical Engineering
Simultaneous Program of the Degree in Mechanical Ingineering and the Degree in Naval and Ocean Engineering
Simultaneous Program of the Degree in Mechanical Ingineering and the Degree in Naval and Ocean Engineering
0 0
Final Year Dissertation
Degree in Naval Architecture and Ocean Engineering
Simultaneous Program of the Degree in Mechanical Ingineering and the Degree in Naval and Ocean Engineering
Simultaneous Program of the Degree in Mechanical Ingineering and the Degree in Naval and Ocean Engineering
0 0
Final Year Dissertation
Degree in Industrial Technology Engineering
0 0
Master's Dissertation
Master in Naval Architecture and Ocean Engineering
0 0
Master's Dissertation
Master´s in Industrial Engineering
0 0
Mathematics 1
Degree in Naval Architecture and Ocean Engineering
Simultaneous Program of the Degree in Mechanical Ingineering and the Degree in Naval and Ocean Engineering
Simultaneous Program of the Degree in Mechanical Ingineering and the Degree in Naval and Ocean Engineering
0 90
Mathematics 2
Degree in Naval Architecture and Ocean Engineering
Simultaneous Program of the Degree in Mechanical Ingineering and the Degree in Naval and Ocean Engineering
0 90

Defined tutoring by teacher for 2024/2025 academic course.

Ferrol Engineering Polytechnic University College

Quarter Day Site
1st quarter Wednesday
10:00 a 13:00
Despacho 12 (Edif. Talleres Tecnolóxicos)
1st quarter Thursday
10:30 a 13:00
Despacho 12 (Edif. Talleres Tecnolóxicos)

EOG works and final master thesis directed

Directed or codirected by current teacher since 2013 year.

Analysis of contact detection algoritmos between quadric surfaces
Study of contact detection algorithm for submarine drone

Research results

Select merit type and year to query research merits.

Subvariedades, curvatura y ecuaciones geométricas desde la perspectiva de la simetría

Funding entity AEI, Agencia Estatal de Investigación
Main researches Miguel Domínguez Vázquez, Miguel Brozos Vázquez
Type Proyecto Programas Nacionales
Dates From 01/09/2023 to 31/08/2026

Interreg España-Portugal 2014- 2020

Funding entity Fondo Europeo de Desarrollo Regional (FEDER)
Main researches Dª María del Pilar García De la Torre
Type Proyecto UE
Dates From 19/06/2019 to 04/04/2022

Red de investigación IEMath-Galicia

Funding entity Xunta de Galicia
Main researches Juan José Nieto Roig
Type Proyecto Programas Autonomicos
Dates From 01/01/2017 to 31/12/2018

Homoxeneidade e curvatura de variedades e subvariedades (Consolidación e estruturación 2017. Modalidade D (Excelencia))

Funding entity Consellería de Cultura, Educación e Ordenación Universitaria
Main researches José Carlos Díaz Ramos
Type Proyecto Programas Autonomicos
Dates From 01/01/2017 to 31/12/2018

Simetría, curvatura y ecuaciones diferenciales en geometría

Funding entity Ministerio de Economía y Competitividad (MINECO)
Main researches Eduardo García Río, José Carlos Díaz Ramos
Type Proyecto Programas Nacionales
Dates From 30/12/2016 to 29/12/2019

Simetría, homogeneidad y curvatura

Funding entity Xunta de Galicia
Main researches José Carlos Díaz Ramos
Type Proyecto Programas Autonomicos
Dates From 14/05/2014 to 14/05/2017

SIMETRIA, CURVATURA Y RIGIDEZ DE ESTRUCTURAS GEOMETRICAS

Funding entity Ministerio de Economía y Competitividad
Main researches Eduardo García Río
Type Proyecto Programas Nacionales
Dates From 01/01/2014 to 31/12/2016

Red de Investigación IEMath-Galicia

Funding entity Consellería de Cultura, Educación e Ordenación Universitaria
Main researches Juan José Nieto Roig
Type Proyecto Programas Autonomicos
Dates From 01/01/2014 to 31/12/2015

Rede IEMath-Galicia (Programa de Consolidación y estructuración de unidades de investigación competitivas).

Funding entity Xunta de Galicia
Main researches Juan José Nieto Roig
Type Proyecto Programas Autonomicos
Dates From 01/01/2012 to 30/11/2013

Xeometría Diferencial e as súas Aplicacións

Funding entity Universidade da Coruña (UDC)
Main researches Miguel Brozos Vázquez
Type Proyecto Otros Programas
Dates From 28/04/2011 to 31/12/2014

Curvatura y simetría en geometría semi-Riemanniana

Funding entity MINISTERIO DE EDUCACIÓN Y CIENCIA
Main researches Eduardo García Río
Type Proyecto Programas Nacionales
Dates From 01/01/2010 to 30/09/2013

Red Temática de Relatividad y Gravitación

Funding entity Ministerio de Economía y Competitividad
Main researches Raúl Vera
Type Proyecto Otros Programas
Dates From 06/07/2010 to 05/07/2012

Curvatura e estructura de variedades de Lorentz: realización xeométrica.

Funding entity Dirección Xeral de Investigación, Desenvolvemento e Innovación
Main researches Miguel Brozos Vázquez
Type Proyecto Programas Autonomicos
Dates From 02/12/2009 to 01/12/2012

Consolidación e estruturación das unidades de investigación do sistema galego de I+D+I. Grupos de investigación

Funding entity Consellería de Economía e Industria
Main researches Eduardo García Río
Type Proyecto Programas Autonomicos
Dates From 01/01/2009 to 11/12/2009

Xeometría de Lorentz: estructura de espazo-tempos relativistas

Funding entity Xunta de Galicia
Main researches Eduardo García Río
Type Proyecto Programas Autonomicos
Dates From 31/10/2006 to 01/12/2009

Influencia geométrica de propiedades intrínsecas y extrínsecas de la curvatura

Funding entity MINISTERIO DE EDUCACIÓN Y CIENCIA
Main researches Eduardo García Río
Type Proyecto Programas Nacionales
Dates From 01/10/2006 to 30/09/2009

Geometría y topología de variedades con estructuras especiales: curvatura

Funding entity Ministerio de Educación
Main researches Luis Ángel Cordero Rego
Type Proyecto Programas Nacionales
Dates From 31/12/2005 to 30/12/2008

Influencia xeométrica de propiedades de operadores e invariantes asociados á curvatura

Funding entity Xunta de Galicia
Main researches Luis Ángel Cordero Rego
Type Proyecto Programas Autonomicos
Dates From 04/06/2004 to 03/06/2007

Construtor de superficies regradas

Type Propiedad Intelectual
Entity
Authors M. Brozos-Vázquez, Ana B. Rodríguez-Raposo
Application date 05/09/2019

Tie-Breaking rules for chess tournaments: A breath of Fresh air

Type Propiedad Intelectual
Entity
Authors Julio González Díaz, M. Brozos-Vázquez, Marco Antonio Campo Cabana, José Carlos Díaz Ramos
Application date 01/01/2005
Approval date 01/01/2005

Rigidity of weighted Einstein smooth metric measure spaces

Authors M. Brozos-Vázquez, D. Mojón-Álvarez
Journal JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES Vol. 181 (pages 91 to 112)
DOI https://doi.org/10.1016/j.matpur.2023.10.003

Four-dimensional homogeneous critical metrics for quadratic curvature functionals

Authors M. Brozos-Vázquez, S. Caeiro-Oliveira, E. García-Río, Ramón Vázquez Lorenzo
Journal TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Vol. 377 Num. 12 (pages 8563 to 8604)
DOI https://doi.org/10.1090/tran/9219

Corrigendum to "Three-dimensional Lorentzian homogeneous Ricci solitons"

Authors M. Brozos-Vázquez, Giovani Calvaruso, E. García-Río, Sandra Gavino Fernández
Journal ISRAEL JOURNAL OF MATHEMATICS Vol. 255 (pages 975 to 984)
DOI https://doi.org/10.1007/s11856-022-2464-6

Critical metrics and massive gravity solutions on three-dimensional Brinkmann waves

Authors M. Brozos-Vázquez, S. Caeiro-Oliveira, E. García-Río
Journal CLASSICAL AND QUANTUM GRAVITY Vol. 39 Num. 015007
DOI https://doi.org/10.1088/1361-6382/ac25e2

Curvature homogeneous critical metrics in dimension three

Authors M. Brozos-Vázquez, S. Caeiro-Oliveira, E. García-Río
Journal JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS Vol. 514 Num. 2
DOI https://doi.org/10.1016/j.jmaa.2022.126354

Vacuum Einstein field equations in smooth metric measure spaces: the isotropic case

Authors M. Brozos-Vázquez, D. Mojón-Álvarez
Journal CLASSICAL AND QUANTUM GRAVITY Vol. 39 Num. 13
DOI https://doi.org/10.1088/1361-6382/ac72e9

Contact detection between a small ellipsoid and another quadric

Authors M. Brozos-Vázquez, María J. Pereira-Sáez, Ana B. Rodríguez-Raposo, María J. Souto-Salorio, Ana D. Tarrío-Tobar
Journal COMPUTER AIDED GEOMETRIC DESIGN Vol. 98
DOI https://doi.org/10.1016/j.cagd.2022.102136

Homogeneous and curvature homogeneous Lorentzian critical metrics

Authors M. Brozos-Vázquez, S. Caeiro-Oliveira, E. García-Río
Journal PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
DOI https://doi.org/10.1017/prm.2022.44

Three-dimensional homogeneous critical metrics for quadratic curvature functionals

Authors M. Brozos-Vázquez, E. García-Río, S. Caeiro-Oliveira
Journal ANNALI DI MATEMATICA PURA ED APPLICATA Vol. 200 Num. 1 (pages 363 to 378)
DOI https://doi.org/10.1007/s10231-020-00999-y

Critical metrics for all quadratic curvature functionals

Authors M. Brozos-Vázquez, E. García-Río, S. Caeiro-Oliveira
Journal BULLETIN OF THE LONDON MATHEMATICAL SOCIETY Vol. 53 Num. 3 (pages 680 to 685)
DOI https://doi.org/10.1112/blms.12448

On distinguished local coordinates for locally homogeneous affine surfaces.

Authors M. Brozos-Vázquez, E. García-Río, P. Gilkey
Journal MONATSHEFTE FÜR MATHEMATIK Vol. 192 Num. 1 (pages 65 to 74)

Classification of the relative positions between a small ellipsoid and an elliptic paraboloid

Authors M. Brozos-Vázquez, María J. Pereira-Sáez, María J. Souto-Salorio, Ana D. Tarrío-Tobar
Journal COMPUTER AIDED GEOMETRIC DESIGN Vol. 72 (pages 34 to 48)

Solutions to the affine quasi-Einstein equation for homogeneous surfaces

Authors M. Brozos-Vázquez, E. García-Río, P. Gilkey, X. Valle-Regueiro
Journal ADVANCES IN GEOMETRY Vol. 20 Num. 3 (pages 413 to 432)
DOI https://doi.org/10.15/advgeom-2020-0011

Spaces of locally homogeneous affine surfaces

Authors M. Brozos-Vázquez, E. García-Río, P. Gilkey
Journal REVISTA DE LA REAL ACADEMIA DE CIENCIAS: SERIE A: MATEMÁTICAS Vol. 114 Num. 39

Isotropic quasi-Einstein manifolds

Authors M. Brozos-Vázquez, E. García-Río, X. Valle-Regueiro
Journal CLASSICAL AND QUANTUM GRAVITY Num. 245005

The structure of the Ricci tensor on locally homogeneous Lorentzian gradient Ricci solitons

Authors M. Brozos-Vázquez, E. García-Río, Sandra Gavino Fernández, P. Gilkey
Journal PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS Vol. 148 Num. 3 (pages 461 to 482)

Homogeneous affine surfaces: affine Killing vector fields and gradient Ricci solitons

Authors M. Brozos-Vázquez, E. García-Río, Peter B Gilkey
Journal JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN Vol. 70 Num. 1 (pages 25 to 70)
DOI https://doi.org/10.2969/jmsj/07017479

The affine quasi-Einstein Equation for homogeneous surfaces

Authors E. García-Río, P. Gilkey, X. Valle-Regueiro, M. Brozos-Vázquez
Journal MANUSCRIPTA MATHEMATICA Vol. 157 (pages 279 to 294)
DOI https://doi.org/10.1007/s00229-017-0987-7

Half conformally flat generalized quasi-Einstein manifolds of metric signature (2,2)

Authors M. Brozos-Vázquez, E. García-Río, P. Gilkey, X. Valle-Regueiro
Journal International Journal of Mathematics Vol. 70 Num. 01 (pages 25 to 70)
DOI https://doi.org/10.1142/s0129167x18500027

A natural linear equation in affine geometry: the affine quasi-Einstein equation

Authors M. Brozos-Vázquez, E. García-Río, P. Gilkey, X. Valle-Regueiro
Journal PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Vol. 146 Num. 8 (pages 3485 to 3497)

Classification of the relative positions between a circular hyperboloid of one sheet and a sphere

Authors M. Brozos-Vázquez, María J. Pereira-Sáez, María J. Souto-Salorio, Ana D. Tarrío-Tobar
Journal MATHEMATICAL METHODS IN THE APPLIED SCIENCES Vol. 41 (pages 5274 to 5292)
DOI https://doi.org/10.1002/mma.5079

Half conformally flat gradient Ricci almost solitons

Authors M. Brozos-Vázquez, E. García-Río, X. Valle-Regueiro
Journal PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES Vol. 472 (pages 1 to 12)

Homogeneous affine surfaces: Moduli spaces.

Authors M. Brozos-Vázquez, E. García-Río, Peter B Gilkey
Journal JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS Vol. 444 (pages 1155 to 1184)

Four-dimensional neutral signature self-dual gradient Ricci solitons

Authors M. Brozos-Vázquez, E. García-Río
Journal INDIANA UNIVERSITY MATHEMATICS JOURNAL Vol. 65 Num. 6 (pages 1921 to 1943)
DOI https://doi.org/10.1512/iumj.2016.65.5938

Locally conformally flat Lorentzian quasi-Einstein manifolds

Authors E. García-Río, Sandra Gavino Fernández, M. Brozos-Vázquez
Journal MONATSHEFTE FÜR MATHEMATIK Vol. 173 Num. 2 (pages 175 to 186)
DOI https://doi.org/10.1007/s00605-013-0548-4

Locally Conformally Flat Lorentzian Gradient Ricci Solitons

Authors M. Brozos-Vázquez, E. García-Río, Sandra Gavino Fernández
Journal JOURNAL OF GEOMETRIC ANALYSIS Vol. 23 Num. 3 (pages 1196 to 1212)
DOI https://doi.org/10.1007/s12220-011-9283-z

Homogeneous 4-Dimensional Kähler-Weyl Structures

Authors M. Brozos-Vázquez, E. García-Río, P. Gilkey, Ramón Vázquez Lorenzo
Journal RESULTS IN MATHEMATICS Vol. 64 Num. 3 (pages 357 to 369)

Equivalence between the Osserman condition and the Rakic duality principle in dimension four

Authors M. Brozos-Vázquez, Eugenio Eduardo Merino Gayoso
Journal JOURNAL OF GEOMETRY AND PHYSICS Vol. 62 (pages 2346 to 2352)

Geometric realizability of covariant derivative Kähler tensors for almost pseudo-Hermitian and almost para-Hermitian manifolds

Authors M. Brozos-Vázquez, E. García-Río, Peter B Gilkey, Luis Mª Hervella Torrón
Journal ANNALI DI MATEMATICA PURA ED APPLICATA Vol. 191 Num. 3 (pages 487 to 502)

Three-dimensional Lorentzian homogeneous Ricci solitons

Authors M. Brozos-Vázquez, Giovani Calvaruso, E. García-Río, Sandra Gavino Fernández
Journal ISRAEL JOURNAL OF MATHEMATICS Vol. 188 (pages 385 to 403)

Compact Osserman Manifolds with Neutral Metric

Authors M. Brozos-Vázquez, E. Garcia Rio, P. Gilkey, R. Vazquez Lorenzo
Journal RESULTS IN MATHEMATICS Vol. 59 (pages 495 to 506)

Geometric Realizations of Affine Kahler Curvature Models

Authors M. Brozos-Vázquez, P. Gilkey, S. Nikcevic
Journal RESULTS IN MATHEMATICS Vol. 59 (pages 507 to 521)

Some generalizations of locally symmetric spaces

Authors M. Brozos-Vázquez, E. Garcia Rio, S. Gavino Fernandez
Journal XIX INTERNATIONAL FALL WORKSHOP ON GEOMETRY AND PHYSICS Vol. 1360 (pages 121 to 126)

The structure of the space of affine Kähler curvature tensors as a complex module

Authors M. Brozos-Vázquez, P. Gilkey, S. Nikcevic
Journal INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS Vol. 8 Num. 8 (pages 1849 to 1868)
DOI https://doi.org/10.1142/s0219887811005981

Ricci solitons on Lorentzian manifolds with large isometry groups

Authors W. Batat, M. Brozos-Vázquez, E. García-Río, S. Gavino Fernandez
Journal BULLETIN OF THE LONDON MATHEMATICAL SOCIETY Vol. 43 (pages 1219 to 1227)

Complex Osserman Kähler manifolds in dimension four

Authors M. Brozos-Vázquez, Peter B Gilkey
Journal FORUM MATHEMATICUM Vol. 25 Num. 2 (pages 313 to 336)
DOI https://doi.org/10.1515/form.2011.119

Geometric realizations of Kaehler and of Para-Kaehler curvature models

Authors M. Brozos-Vázquez, P. Gilkey, Eugenio Eduardo Merino Gayoso
Journal INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS Vol. 7 Num. 3 (pages 505 to 515)

Geometric realizations of hermitian curvature models

Authors M. Brozos-Vázquez, P. Gilkey, Hyunsuk Kang, Stana Nikcevic
Journal JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN Vol. 62 Num. 3 (pages 851 to 866)

Geometric realizations of curvature

Authors M. Brozos-Vázquez, P. Gilkey, S. Nikcevic
Journal NIHONKAI MATHEMATICAL JOURNAL Vol. 20 (pages 1 to 24)

Geometric realizations of curvature models by manifolds of constant scalar curvature

Authors M. Brozos-Vázquez, P. Gilkey, H. Kang, S. Nikcevic, G. Weingart
Journal DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS Vol. 27 (pages 696 to 701)

Geometric realizations of para-Hermitian curvature models

Authors M. Brozos-Vázquez, P. Gilkey, Stana Nikcevic, Ramón Vázquez Lorenzo
Journal RESULTS IN MATHEMATICS Vol. 56 (pages 319 to 333)

Complex Osserman Algebraic curvature tensors and clifford families

Authors M. Brozos-Vázquez, P. Gilkey
Journal HOUSTON JOURNAL OF MATHEMATICS Vol. 34 Num. 3 (pages 677 to 702)

Osserman and Conformally Osserman Manifolds with Warped and Twisted Product Structure

Authors M. Brozos-Vázquez, E. García-Río, Ramón Vázquez Lorenzo
Journal RESULTS IN MATHEMATICS Vol. 52 Num. 3-4 (pages 211 to 221)

Projectively Osserman manifolds

Authors M. Brozos-Vázquez, Peter Nikcevic, Udo Simon
Journal PUBLICATIONES MATHEMATICAE-DEBRECEN Vol. 72 (pages 359 to 370)

Pseudo-Riemannian manifolds with commuting jacobi operators

Authors M. Brozos-Vázquez, P. Gilkey
Journal RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO. SECOND SERIES Vol. 55 Num. 2 (pages 163 to 174)

Ranking participants in tournaments by means of rating functions

Authors M. Brozos-Vázquez, Marco Antonio Campo Cabana, José Carlos Díaz Ramos, Julio González Díaz
Journal JOURNAL OF MATHEMATICAL ECONOMICS Vol. 44 Num. 11 (pages 1246 to 1256)

Relating the curvature tensor and the complex Jacobi operator of an almost hermitian manifold

Authors M. Brozos-Vázquez, E. García Río, P. Gilkey
Journal ADVANCES IN GEOMETRY Vol. 8 Num. 3 (pages 353 to 365)

Stanilov-Tsankov-Videv Theory

Authors M. Brozos-Vázquez, Bernd Fiedler, E. García-Río, P. Gilkey, Stana Nikcevic, Grozio Stanilov, Yulian Tsankov, Ramón Vázquez Lorenzo, Veselin Videv
Journal SYMETRY, INTEGRABILITY AND GEOMETRY: METHODS ANDA APPLICATIONS Vol. 3 (pages 1 to 13)

The global geometry of Riemannian manifolds with commuting curvature operators

Authors M. Brozos-Vázquez, P. Gilkey
Journal JOURNAL OF FIXED POINT THEORY AND APPLICATIONS Vol. 1 (pages 87 to 96)

Examples of signatures (2,2) manifolds with commuting curvature operators

Authors M. Brozos-Vázquez, E. García Río, P. Gilkey, R. Vázquez Lorenzo
Journal JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL Vol. 40 (pages 13149 to 13159)

Complete locally conformally flat manifolds of negative curvature

Authors M. Brozos-Vázquez, E. García-Río, Ramón Vázquez Lorenzo
Journal PACIFIC JOURNAL OF MATHEMATICS Vol. 226 Num. 2 (pages 201 to 219)

Conformally Osserman four-dimensional manifolds whose conforlam Jacobi operators have complex eigenvalues

Authors M. Brozos-Vázquez, E. García Río, R. Vázquez Lorenzo
Journal PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES Vol. 462 (pages 1425 to 1441)

Manifolds with commuting Jacobi operators

Authors M. Brozos-Vázquez, P. Gilkey
Journal JOURNAL OF GEOMETRY Vol. 86 (pages 21 to 30)

Warped product metrics and locally conformally flat structures

Authors M. Brozos-Vázquez, E. García-Río, Ramón Vázquez Lorenzo
Journal MATEMÁTICA CONTEMPORÂNEA Vol. 28 (pages 91 to 110)

Locally conformally flat multidimensional cosmological models with a higher-dimensional external spacetime

Authors M. Brozos-Vázquez, E. García-Río, Ramón Vázquez Lorenzo
Journal CLASSICAL AND QUANTUM GRAVITY Vol. 22 Num. 16 (pages 3119 to 3133)

Propiedades locais de espacio tempos relativistas

Authors M. Brozos-Vázquez, José Carlos Díaz Ramos
Journal REVISTA DE LA REAL ACADEMIA GALLEGA DE CIENCIAS Vol. 24 (pages 259 to 362)

Some remarks on locally conformally flat static spacetimes

Authors M. Brozos-Vázquez, E. García-Río, Ramón Vázquez Lorenzo
Journal JOURNAL OF MATHEMATICAL PHYSICS Vol. 46 Num. 2 (pages 0 to 11)

Locally conformally flat multidimensional cosmological models and generalized Friedmann-Robertson-Walker spacetimes

Authors M. Brozos-Vázquez, E. García-Río, Ramón Vázquez Lorenzo
Journal JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS Vol. 12 (pages 1 to 8)

Geometric Realizations of Curvature

Authors M. Brozos-Vázquez, Peter B Gilkey, Stana Nikcevic
Publishing Imperial College Press, Londres (Reino Unido)
ISBN 978-1-84816-741-4

The Geometry of Walker Manifolds

Authors M. Brozos-Vázquez, E. García-Río, P. Gilkey, Stana Nikcevic, Ramón Vázquez Lorenzo
Publishing Morgan&Claypool Publishers, Saint Louis (Estados Unidos)
ISBN 978-1-59829-819-2

GEOMETRIC CONSEQUENCES OF ALGEBRAIC CONDITIONS ON CURVATURE OPERATORS

Authors M. Brozos-Vázquez
Publishing Universidade de Santiago de Compostela, Santiago de Compostela (España)
ISBN 978-84-89390-26-3

Desarrollo de proyectos didácticos para adquirir competencias transversales

Authors M. Brozos-Vázquez. Adriana Dapena. María J. Pereira-Sáez. María J. Souto-Salorio. Ana D. Tarrío-Tobar. Ana B. Rodríguez-Raposo
Book Libro de Actas del XXVI CUIEET - Congreso Universitario de Innovación Educativa en las Enseñanzas Técnicas
Publishing: Universidad de Oviedo.
ISBN: 978-84-17445-02-7
Pages From 1308 to 1311

Local Structure of Self-Dual Gradient Yamabe Solitons

Authors M. Brozos-Vázquez. Esteban Calviño Louzao. E. García-Río. Ramón Vázquez Lorenzo
Book Geometry, Algebra and Applications: From Mechanics to Cryptography
Vol. 161 Publishing: Springer International Publishing .
ISBN: 978-3-319-32084-7
Pages From 25 to 36

Conformally Osserman multiply warped product structures in the Riemannian setting

Authors M. Brozos-Vázquez. M. E. Vázquez Abal. Ramón Vázquez Lorenzo
Book Proceedings of the VIII International Colloquium on Differential Geometry
Publishing: WORLD SCIENTIFIC PUBL CO PTE LTD.
ISBN: 978-981-4261-16-6
Pages From 185 to 194

Stanilov-Tsankov Theory

Authors M. Brozos-Vázquez. P. Gilkey
Book THE GEOMETRY OF CURVATURE HOMOGENEOUS PSEUDO-RIEMANNIAN MANIFOLDS
Vol. - Publishing: Imperial College Press.
ISBN: 978-1-86094-785-8
Pages From 309 to 360

Complex Osserman algebraic Curvature Tensors

Authors P. Gilkey. M. Brozos-Vázquez
Book THE GEOMETRY OF CURVATURE HOMOGENEOUS PSEUDO-RIEMANNIAN MANIFOLDS
Vol. - Publishing: Imperial College Press.
ISBN: 978-1-86094-785-8
Pages From 257 to 308

Completeness, Ricci blowup, the Osserman and the conformal Osserman condition for Walker signature (2; 2) manifolds.

Authors M. Brozos-Vázquez. E. García-Río. Peter B Gilkey. Ramón Vázquez Lorenzo
Book Proceedings of XV International Workshop on Geometry and Physics
Vol. 11 Publishing: Real Sociedad Matemática Española.
ISBN: 978-84-935193-1-2
Pages From 57 to 66

Jacobi-Tsankov manifolds which are not 2-step nilpotent

Authors M. Brozos-Vázquez. Peter B Gilkey. Stana Nikcevic
Book Proceedings of the Conference Contemporary Geometry and Related Topics
Publishing: Faculty of Mathematics, University of Belgradee.
ISBN: 86-7589-059-1
Pages From 121 to 126

Pointwise Osserman four-dimensional manifolds with the local structure of a twisted product

Authors M. Brozos-Vázquez. E. García-Río. Ramón Vázquez Lorenzo
Book II International Meeting on Lorentzian Geometry
Publishing: Real Sociedad Matemática Española.
ISBN: 84-933610-5-4
Pages From 121 to 126

Métricas críticas para funcionais cuadráticos da curvatura

Autor Sandro Caeiro Oliveira
Director/s Eduardo García Río Miguel Brozos Vázquez
Scope Facultade de Matemáticas
Qualification Sobresaliente Cum Laude

Solitóns asociados a ecuacións de evolución xeométrica e estruturas quasi-Einstein

Autor Xabier Valle Regueiro
Director/s Eduardo García Río Miguel Brozos Vázquez
Scope Facultade de Matemáticas
Qualification Sobresaliente Cum Laude

The geometry of Lorentzian Ricci solitons

Autor Sandra Gavino Fernández
Director/s Miguel Brozos Vázquez Eduardo García Río
Scope Universidade de Santiago de Compostela (USC)
Qualification Apto Cum Laude

Rigidez en variedades de Einstein ponderadas
Congreso Bienal Real Sociedad Matemática Española
National

Authors M. Brozos-Vázquez
Organization Real Sociedad Matemática Española
Place Pamplona/Iruña (España)

Weighted Einstein manifolds with harmonic Weyl tensor
International Conference on Differential Geometry 2024
International

Authors M. Brozos-Vázquez
Organization Science Faculty in Istanbul University
Place Estambul (Turquía)

Contact detection between a small ellipsoid and another quadric
International Geometry Summit 2023 (Geometric Modeling and Processing 2023)
International

Authors M. Brozos-Vázquez, María J. Pereira-Sáez, Ana B. Rodríguez-Raposo, María J. Souto-Salorio, Tarrío Tobar, Ana Dorotea
Organization Institute for Applied Mathematics and Information Technologies "Enrico Magenes"
Place Xénova (Italia)

The Einstein equation in spacetimes with density
Geometry, Topology and Applications Days
International

Authors M. Brozos-Vázquez
Organization Centro de Matemática (CMAT)-Universidade do Minho
Place Braga (Portugal)

Smooth metric measure spaces and the Einstein equation
XXI Geometrical Seminar
International

Authors M. Brozos-Vázquez
Organization University of Belgrade
Place Belgrado (Serbia)

Several aspects of critical metrics for quadratics curvature functionals
XIII Summer Workshop in Mathematics
International

Authors M. Brozos-Vázquez
Organization University of Brasília, Brazil
Place Brasília (online) (Brasil)

Métricas críticas en variedades de Walker de dimensión 3
V Reunión conjunta de la Real Sociedad Matemática Española y la Sociedad Matemática Mexicana
International

Authors M. Brozos-Vázquez
Organization Sociedad Matemática Mexicana
Place Guanajuato (México)

The complex Jacobi operator and the complex Osserman condition
Differential Geometry and its Applications
International

Authors M. Brozos-Vázquez
Organization Palacky University
Place Hradec Králové (República Checa)

ESTRATEGIAS PARA MOTIVAR AL ESTUDIANTADO UNIVERSITARIO E INCREMENTAR SU PARTICIPACIÓN EN EL APRENDIZAJE Y LA EVALUACIÓN. UN EJEMPLO EN MATEMÁTICAS
III Congreso Internacional de Innovación Educativa en Edificación, CINIE 2019
International

Authors M. Brozos-Vázquez, María J. Pereira-Sáez, Ana B. Rodríguez-Raposo, María J. Souto-Salorio, Ana D. Tarrío-Tobar
Organization Escuela Técnica Superior de Edificación , Universidad Politécnica de Madrid
Place Madrid (España)

"Enredando con Geometría"
XIX Jornadas para el Aprendizaje y Enseñanza de las Matemáticas
National

Authors M. Brozos-Vázquez, María J. Pereira-Sáez, María J. Souto-Salorio, Ana D. Tarrío-Tobar, Ana Belén Rodriguez Raposo
Place Coruña, A (España)

Experiencia de Ensino activo para Matemáticas en titulacións universitarias
IV Simposio Internacional de Enseñanza de las Ciencias (SIEC 2018)
International

Authors M. Brozos-Vázquez, María J. Pereira-Sáez, Ana Belén Rodriguez Raposo, María J. Souto-Salorio, Ana D. Tarrío-Tobar
Place Vigo (España)

Desarrollo de proyectos didácticos para adquirir competencias transversales
XXVI Congreso Universitario de Innovación Educativa en las Enseñanzas Técnicas (CUIEET)
National

Authors M. Brozos-Vázquez, Adriana Dapena, María J. Pereira-Sáez, Ana Belén Rodriguez Raposo, Ana D. Tarrío-Tobar
Organization Universidad de Oviedo
Place Gijón (España)

Four-dimensional quasi-Einstein manifolds
IX International Meeting on Lorentzian Geometry
International

Authors M. Brozos-Vázquez
Organization Institute of Mathematics (Polish Academy of Science)
Place Varsovia (Polonia)

Half conformally flat gradient Ricci almost solitons in higher signature
XIX Geometrical Seminar
International

Authors M. Brozos-Vázquez
Place Zlatibor (Serbia y Montenegro)

Classi cation of the relative positions between a hyperboloid and a sphere
20th Conference of the International Linear Algebra Society (ILAS)
International

Authors M. Brozos-Vázquez, María J. Pereira-Sáez, María J. Souto-Salorio
Place Leuven (Bélgica)

Lorentzian Homogeneous Gradient Ricci Solitons
XXIV International Fall Workshop on Geometry and Physics
International

Authors M. Brozos-Vázquez
Organization Centro Universitario de la Defensa-Universidad de Zaragoza
Place Zaragoza (España)

Gradient Ricci Solitons in Pseudo-Riemannian Geometry
5th Iberian Mathematicas Meeting
International

Authors M. Brozos-Vázquez
Organization UNIVERSIDADE DE AVEIRO
Place Aveiro (Portugal)

Lorentzian Gradient Ricci Solitons
7th International Meeting on Lorentzian Geometry
International

Authors M. Brozos-Vázquez
Organization Universidade de São Paulo *
Place Sao Paulo (Brasil)

Geometric realizability by homogeneous Kähler-Weyl structures
Workshop on Lorentzian Homogeneous spaces
International

Authors M. Brozos-Vázquez
Organization Universidad Complutense de Madrid (UCM)
Place Madrid (España)

Solitones de Ricci gradientes en Geometría de Lorentz
Jóvenes investigadores de la Real Sociedad Matemática Española
National

Authors M. Brozos-Vázquez
Organization Real Sociedad Matemática Española
Place Soria (España)

Reivindicando o método de Gauss
XXIV Congreso de Enciga
Autonomous

Authors M. Brozos-Vázquez, Ana Belén Rodriguez Raposo
Organization Enciga
Place Fonsagrada, A (España)

Ferramentas informáticas para o ensino da análise matemática
V Congreso de Educación Matemática de AGAPEMA
International

Authors M. Brozos-Vázquez, Araceli Torres Miño
Place Ferrol (España)

Lorentzian Ricci solitons with large isometry groups
XIX International Fall Workshop on Geometry and Physics
International

Authors M. Brozos-Vázquez
Organization Universidade do Porto
Place Porto (Portugal)

Sobre rodas non redondas
XXIII Congreso Enciga
Autonomous

Authors M. Brozos-Vázquez, Rodríguez-Moldes Rey, C., Ana Belén Rodriguez Raposo
Organization Enciga
Place Narón (España)

Conformally Osserman Multiply Warped Product Structures in the Riemannian Setting
VIII International Colloquium on differential Geometry
International

Authors M. Brozos-Vázquez, María Elena Vázquez Abal, Ramón Vázquez Lorenzo
Place Santiago de Compostela (España)

Realización geométrica de la curvatura
Workshop on Differential Geometry and Relativity
National

Authors M. Brozos-Vázquez
Organization Universidade de Santiago de Compostela (USC)
Place Cedeira (España)

Realización geométrica de modelos algebraicos
I Reunión conjunta de la Sociedad Matemática Mexicana-Real Sociedad Matemática Española
International

Authors M. Brozos-Vázquez
Organization Sociedad Matemática Mexicana
Place Oaxaca (México)

Completeness, Ricci blowup, the Osserman and the conformal Osserman condition for Walker signature (2,2) manifolds
V INTERNATIONAL WORKSHOP ON GEOMETRY AND PHYSICS
International

Authors M. Brozos-Vázquez, P. Gilkey, E. García Río, R. Vázquez Lorenzo
Organization Universidad de La Laguna
Place España

Manifolds with commuting Jacobi operators
Differential Geometry and Physics
International

Authors M. Brozos-Vázquez
Organization Eötvös Loránd University
Place Budapest (Hungría)

Locally conformally flat multiply warped products
XIII Escola de Geometría Diferencial
International

Authors M. Brozos-Vázquez
Organization Universidade de São Paulo *
Place Sao Paulo (Brasil)

Pointwise Osserman four-dimensional manifolds with local structure of twisted product
II Encuentro Internacional sobre Geometría de Lorentz
International

Authors M. Brozos-Vázquez
Organization Universidad de Murcia (UM)
Place Murcia (España)

Positions

Academic or management positions held by teacher.

Consello do Departamento Matemáticas

PDI (Membros Natos)

From 15/03/2023.

Xunta da Escola Politécnica de Enxeñaría de Ferrol

PDI (Membros Natos)

From 15/03/2023.

Comité de Dirección de la EIDUDC

Coordinador

From 14/06/2022.

CAPD en Matemáticas e Aplicacións

Coordinador

From 14/06/2022.

Xunta da Escola Politécnica de Enxeñaría de Ferrol

PDI (Membros Natos)

From 04/11/2021 to 14/03/2023.

Xunta da Escola Politécnica Superior

PDI (Membros Natos)

From 10/03/2021 to 03/11/2021.

Consello do Departamento Matemáticas

PDI (Membros Natos)