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 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 Total hours
Advanced mathematics
Master´s in Naval and Oceanic Engineering
21
Calculus
Degree in Industrial Technology Engineering
Degree in Mechanical Engineering
70
Mathematics 2
Degree in Naval Architecture and Ocean Engineering
60
Subject and involved studies Total hours
Advanced mathematics
Master´s in Naval and Oceanic Engineering
30
Calculus
Degree in Industrial Technology Engineering
Degree in Mechanical Engineering
50
Mathematics 2
Degree in Naval Architecture and Ocean Engineering
60
Subject and involved studies Total hours
Advanced mathematics
Master´s in Naval and Oceanic Engineering
30
Calculus
Degree in Industrial Technology Engineering
Degree in Mechanical Engineering
70
Mathematics 2
Degree in Naval Architecture and Ocean Engineering
80
Subject and involved studies Total hours
Calculus
Degree in Industrial Technology Engineering
Degree in Mechanical Engineering
60
Mathematics 1
Degree in Naval Architecture and Ocean Engineering
60
Mathematics 2
Degree in Naval Architecture and Ocean Engineering
60
Subject and involved studies Total hours
Calculus
Degree in Industrial Technology Engineering
Degree in Mechanical Engineering
180
LINEAR ALGEBRA
Degree in Naval Architecture
Degree in Propulsion Engineering and Ship Services
40

Defined tutoring by teacher for 2017/2018 academic course.

Higher Polytechnic University College

Quarter Day Site
1st quarter Monday
10:00 a 11:00
Despacho 12 (Edif. Talleres Tecnolóxicos)
1st quarter Monday
12:00 a 13:00
Despacho 12 (Edif. Talleres Tecnolóxicos)
1st quarter Tuesday
12:00 a 13:00
Despacho 12 (Edif. Talleres Tecnolóxicos)
1st quarter Tuesday
10:00 a 11:00
Despacho 12 (Edif. Talleres Tecnolóxicos)
1st quarter Thursday
10:00 a 12:00
Despacho 12 (Edif. Talleres Tecnolóxicos)

EOG works and final master thesis directed

No available EOG works or final master thesis directed by current teacher since 2013 year.

Research results

Select merit type and year to query research merits.

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 CONSELLERIA 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

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

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

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

Half conformally flat gradient Ricci almost solitons

Authors Miguel Brozos Vázquez, Eduardo García Río, Xabier 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 Miguel Brozos Vázquez, Eduardo 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 Miguel Brozos Vázquez, Eduardo 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 Eduardo García Río, Sandra Gavino Fernández, Miguel Brozos Vázquez
Journal MONATSHEFTE FUR 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 Miguel Brozos Vázquez, Eduardo 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 Miguel Brozos Vázquez, Eduardo García Río, Peter 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 Miguel 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 Miguel Brozos Vázquez, Eduardo 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 Miguel Brozos Vázquez, Giovani Calvaruso, Eduardo García Río, Sandra Gavino Fernández
Journal ISRAEL JOURNAL OF MATHEMATICS Vol. 188 (pages 385 to 403)

Compact Osserman Manifolds with Neutral Metric

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

Some generalizations of locally symmetric spaces

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

Projectively Osserman manifolds

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

Pseudo-Riemannian manifolds with commuting jacobi operators

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

Stanilov-Tsankov-Videv Theory

Authors Miguel Brozos Vázquez, Bernd Fiedler, Eduardo García Río, Peter 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 Miguel 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 Miguel 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 Miguel Brozos Vázquez, Eduardo 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 Miguel 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 Miguel Brozos Vázquez, Peter Gilkey
Journal JOURNAL OF GEOMETRY Vol. 86 (pages 21 to 30)

Warped product metrics and locally conformally flat structures

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

Geometric Realizations of Curvature

Authors Miguel 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 Miguel Brozos Vázquez, Eduardo García Río, Peter 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 Miguel Brozos Vázquez
Publishing Universidade de Santiago de Compostela, Santiago de Compostela (España)
ISBN 978-84-89390-26-3

Local Structure of Self-Dual Gradient Yamabe Solitons

Authors Miguel Brozos Vázquez. Esteban Calviño Louzao. Eduardo García Río. Ramón Vázquez Lorenzo
Book Geometry, Algebra and Applications: From Mechanics to Cryptography
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 Miguel 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 Miguel Brozos Vázquez. Peter Gilkey
Book THE GEOMETRY OF CURVATURE HOMOGENEOUS PSEUDO-RIEMANNIAN MANIFOLDS
Publishing: Imperial College Press.
ISBN: 978-1-86094-785-8
Pages From 309 to 360

Complex Osserman algebraic Curvature Tensors

Authors Peter Gilkey. Miguel Brozos Vázquez
Book THE GEOMETRY OF CURVATURE HOMOGENEOUS PSEUDO-RIEMANNIAN MANIFOLDS
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 Miguel Brozos Vázquez. Eduardo García Río. Peter B Gilkey. Ramón Vázquez Lorenzo
Book Proceedings of XV International Workshop on Geometry and Physics
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 Miguel 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 Miguel Brozos Vázquez. Eduardo 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

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

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

Authors Miguel 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 Miguel Brozos Vázquez, Maria Jose Pereira Saez, María José Souto Salorio
Place Leuven (Bélgica)

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

Authors Miguel 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 Miguel Brozos Vázquez
Organization UNIVERSIDADE DE AVEIRO
Place Aveiro (Portugal)

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

Authors Miguel 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 Miguel 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
International

Authors Miguel Brozos Vázquez
Organization Real Sociedad Matemática Española
Place Soria (España)

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

Authors Miguel 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 Miguel Brozos Vázquez
Organization Universidade do Porto
Place Porto (Portugal)

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

Authors Miguel 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
International

Authors Miguel 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 Miguel Brozos Vázquez
Organization Sociedad Matemática Mexicana
Place Oaxaca (México)

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

Authors Miguel Brozos Vázquez
Organization Palacky University
Place Olomouc (República Checa)

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 Miguel 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 Miguel Brozos Vázquez
Organization Eötvös Loránd University
Place Budapest (Hungría)

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

Authors Miguel 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 Miguel Brozos Vázquez
Organization Universidad de Murcia (UM)
Place Murcia (España)