José Carlos Díaz-Ramos

Publications

Research papers

J. L. Carmona-Jiménez, M. Castrillón-López, J. C. Díaz-Ramos: The Ambrose-Singer theorem for cohomogeneity one Riemannian manifolds, arXiv:2312.16934 [math.DG].
J. C. Díaz-Ramos, J. M. Lorenzo-Naveiro: Codimension two polar homogeneous foliations on symmetric spaces of noncompact type, arXiv:2302.08339 [math.DG].
J. C. Díaz-Ramos, M. Domínguez-Vázquez, T. Otero-Casal: Cohomogeneity one actions on symmetric spaces of noncompact type and higher rank, Adv. Math. 428 (2023), 109165.
J. C. Díaz-Ramos, M. Domínguez-Vázquez, O. Pérez-Barral: Homogeneous CR submanifolds of complex hyperbolic spaces, Publ. Mat. 67 (2023), 891-912.
J. C. Díaz-Ramos, M. Domínguez-Vázquez, T. Hashinaga: Homogeneous Lagrangian foliations on complex space forms, Proc. Amer. Math. Soc. 151 (2023), 823-833.
J. C. Díaz-Ramos, M. Domínguez-Vázquez, A. Rodríguez-Vázquez: Homogeneous and inhomogeneous isoparametric hypersurfaces in rank one symmetric spaces, J. Reine Angew. Math. 779 (2021), 189-222.
J. C. Díaz-Ramos, M. Domínguez-Vázquez, A. Kollross: On homogeneous manifolds whose isotropy actions are polar, Manuscripta Math. 161 (2020), 15-34.
J. C. Díaz-Ramos, M. Domínguez-Vázquez, C. Vidal-Castiñeira: Strongly 2-Hopf hypersurfaces in complex projective and hyperbolic planes, Ann. Mat. Pura Appl. 197 (2018), 469-486.
J. C. Díaz-Ramos, M. Domínguez-Vázquez, C. Vidal-Castiñeira: Isoparametric submanifolds in two-dimensional complex space forms, Ann. Global Anal. Geom. 53 (2018), 205-216.
J. C. Díaz-Ramos, M. Domínguez-Vázquez, V. Sanmartín-López: Isoparametric hypersurfaces in complex hyperbolic spaces, Adv. Math. 314 (2017), 756-805.
J. C. Díaz-Ramos, M. Domínguez-Vázquez, A. Kollross: Polar actions on complex hyperbolic spaces, Math. Z. 287 (2017), 1183-1213.
J. C. Díaz-Ramos, M. Domínguez-Vázquez, C. Vidal-Castiñeira: Real hypersurfaces with two principal curvatures in complex projective and hyperbolic planes, J. Geom. Anal. 27 (2017), 442-465.
J. Berndt, J. C. Díaz-Ramos, M. Vanaei: Cohomogeneity one actions on Minkowski spaces, Monatsh. Math. 184 (2017), 185-200.
J. C. Díaz-Ramos, S. M. B. Kashani, M. Vanaei: Cohomogeneity one actions on anti de Sitter spacetimes, Results Math. 72 (2017), 515-536.
J. C. Díaz-Ramos, C. Vidal-Castiñeira: Examples of real hypersurfaces with two principal curvatures in complex projective planes, Int. J. Geom. Meth. Mod. Physics 12 (2015), 1560013 (6 pages).
J. C. Díaz-Ramos, M. Domínguez-Vázquez: Isoparametric hypersurfaces in Damek-Ricci spaces, Adv. Math. 239 (2013), 1-17.
J. Berndt, J. C. Díaz-Ramos: Polar actions on the complex hyperbolic plane, Ann. Global Anal. Geom. 43 (2013), 99-106.
J. Berndt, J. C. Díaz-Ramos: Homogeneous polar foliations of complex hyperbolic spaces, Comm. Anal. Geom. 20 (2012), 435-454.
J. C. Díaz-Ramos, M. Domínguez-Vázquez: Inhomogeneous isoparametric hypersurfaces in complex hyperbolic spaces, Math. Z. 271 (2012), 1037-1042.
J. C. Díaz-Ramos, M. Domínguez-Vázquez: Non-Hopf real hypersurfaces with constant principal curvatures in complex space forms, Indiana Univ. Math. J. 60 (2011), 859-882.
J. C. Díaz-Ramos, A. Kollross: Polar actions with a fixed point, Differential Geom. Appl. 29 (2011), 20-25.
J. Berndt, J. C. Díaz-Ramos, H. Tamaru: Hyperpolar homogeneous foliations on symmetric spaces of noncompact type, J. Differential Geom. 86 (2010), 191-235.
J. Berndt, J. C. Díaz-Ramos: Homogeneous hypersurfaces in complex hyperbolic spaces, Geom. Dedicata 138 (2009), 129-150.
M. Brozos-Vázquez, M. C. Campo-Cabana, J. C. Díaz-Ramos, J. González-Díaz: Ranking participants in a tournament by means of rating functions, J. Math. Econom. 44 (2008), 1246-1256.
A. Cortés-Ayaso, J. C. Díaz-Ramos, E. García-Río: Four-dimensional manifolds with degenerate self-dual Weyl operator, Ann. Global Anal. Geom. 34 (2008), 185-193.
J. Davidov, J. C. Díaz-Ramos, E. García-Río, Y. Matsushita, O. Muskarov, R. Vázquez-Lorenzo: Hermitian Walker 4-manifolds, J. Geom. Phys. 58 (2008), 307-323.
J. Berndt, J. C. Díaz-Ramos: Real hypersurfaces with constant principal curvatures in the complex hyperbolic plane, Proc. Amer. Math. Soc. 135 (2007), 3349-3357.
J. Davidov, J. C. Díaz-Ramos, E. García-Río, Y. Matsushita, O. Muskarov, R. Vázquez-Lorenzo: Almost Kähler Walker four-manifolds, J. Geom. Phys. 57 (2007), 1075-1088.
J. Berndt, J. C. Díaz-Ramos: Real hypersurfaces with constant principal curvatures in complex hyperbolic spaces, J. London Math. Soc. 74 (2006), 778-798.
J. C. Díaz-Ramos, E. García-Río, L. Vanhecke: Homogeneity and curvatures of geodesic spheres, Monatsh. Math. 149 (2006), 303-322.
J. C. Díaz-Ramos, E. García-Río, R. Vázquez-Lorenzo: New examples of Osserman metrics with non diagonalizable Jacobi operators, Differential Geom. Appl. 24 (2006), 433-442.
J. C. Díaz-Ramos, E. García-Río, R. Vázquez-Lorenzo: Four-dimensional Osserman metrics with nondiagonalizable Jacobi operators, J. Geom. Anal. 16 (2006), 39-52.
J. C. Díaz-Ramos, E. García-Río, R. Vázquez-Lorenzo: Osserman metrics on Walker 4-manifolds equipped with a para-Hermitian structure, Mat. Contemp. 30 (2006), 91-108.
J. C. Díaz-Ramos, E. García-Río: Curvature properties of geodesic celestial spheres in Lorentzian geometry, Nonlinear Anal. 63 (2005), e481-e491.
J. C. Díaz-Ramos, E. García-Río, L. M. Hervella: Comparison results for the volume of geodesic celestial spheres in Lorentzian manifolds, Differential Geom. Appl. 23 (2005), 1-16.
J. C. Díaz-Ramos, E. García-Río, L. M. Hervella: Total curvatures of geodesic spheres associated to quadratic curvature invariants, Ann. Mat. Pura Appl. 184 (2005), 115-130.
M. Brozos-Vázquez, J. C. Díaz-Ramos: Propiedades locais de espacio tempos relativistas, Revista Academia Galega de Ciencias, XXIV (2005), 259-365.
J. C. Díaz-Ramos, B. Fiedler, E. García-Río, P. Gilkey: The structure of algebraic covariant derivative curvature tensors, Int. J. Geom. Meth. Mod. Physics 1 (2004), 711-720.
J. C. Díaz-Ramos, E. García-Río: A note on the structure of algebraic curvature tensors, Lin. Alg. Appl. 382 (2004), 271-277.

Conference proceedings

J. C. Díaz-Ramos, M. Domínguez-Vázquez, T. Otero-Casal: Homogeneous hypersurfaces in symmetric spaces, New Trends in Geometric Analysis, Spanish Network of Geometric Analysis 2007-2021, RSME Springer Series, Springer, 2023, 141-190.
J. C. Díaz-Ramos, M. Domínguez-Vázquez, V. Sanmartín-López: Submanifold geometry in symmetric spaces of noncompact type, Sao Paulo J. Math. Sci., (Special Section: An Homage to Manfredo P. do Carmo), 2021, 75-110.
J. C. Díaz-Ramos, M. Domínguez-Vázquez, V. Sanmartín-López: Anti-De Sitter spacetimes and isoparametric hypersurfaces in complex hyperbolic spaces, Lorentzian Geometry and Related Topics, Springer Proceedings in Mathematics & Statistics 211, GeLoMa 2016, Málaga, Spain, September 20-23, Springer, 2017, 87-101.
J. C. Díaz-Ramos: Polar Actions on Symmetric Spaces, Recent Trends in Lorentzian Geometry, Springer Proceedings in Mathematics & Statistics, Springer, 2013, 315-334.
J. C. Díaz-Ramos: Polar actions on complex space forms, Proceedings of The Sixteenth International Workshop on Differential Geometry and related fields 16, 2012, 69-88.
J. C. Díaz-Ramos: The orbits of cohomogeneity one actions on complex hyperbolic spaces, Proceedings of the VIII International Colloquium on Differential Geometry, World Sci. Publ. Co., 2009, 146-155.
J. C. Díaz-Ramos: Computational methods in Mathematics, Curvature and variational modeling in Physics and Biophysics, AIP Conference Proceedings 1002, Amer. Inst. Phys., 2008, 213-252.
J. C. Díaz-Ramos, E. García-Río, L. M. Hervella: Total curvatures of geodesic spheres and of boundaries of geodesic disks, Complex, contact and symplectic manifolds, Progress in Math., Birkhäuser, 2005, 131-143.
J. C. Díaz-Ramos, E. García-Río, L. M. Hervella: On some volume comparison results in Lorentzian geometry, Proceedings of the II International Meeting on Lorentzian Geometry, Publ. de la RSME 8, 2004, 15-27.

Monographs

J. C. Díaz-Ramos: Geometric consequences of intrinsic and extrinsic curvature conditions, Publ. Dto. Geom. Top. 106, Imprenta Universitaria, 2006.
J. C. Díaz-Ramos: Caracterización de variedades Riemannianas mediante curvaturas totais de esferas xeodésicas, Publ. Dto. Geom. Top. 101, Imprenta Universitaria, 2003.
J. C. Díaz-Ramos: Curvaturas totais de esferas xeodésicas, Publ. Dto. Geom. Top. 97, Imprenta Universitaria, 2002.

Teaching publications

J. C. Díaz-Ramos, A. M. Gómez-Tato, E. Macías-Virgós: Matemáticas e estatística II: conceptos e fórmulas da estatística no Grao de Farmacia, Esenciais USC, Universidade de Santiago de Compostela, 2020.
J. C. Díaz-Ramos: Matemáticas e Estatística II, Minerva (repositorio institucional da USC), AC-Materiais didácticos, Universidade de Santiago de Compostela, 2021.
J. C. Díaz-Ramos: Topoloxía dos espazos euclidianos, Minerva (repositorio institucional da USC), AC-Materiais didácticos, Universidade de Santiago de Compostela, 2021.

Other publications

M. Brozos-Vázquez, J. C. Díaz-Ramos, J. González-Díaz, A. B. Rodríguez-Raposo, T. Sánchez-Rúa (editors): As matemáticas do veciño. Seminario de Iniciación á Investigación. Vol. II, Instituto de Matemáticas, Universidade de Santiago de Compostela, 2007.
M. Brozos-Vázquez, J. C. Díaz-Ramos, J. González-Díaz, A. B. Rodríguez-Raposo, T. Sánchez-Rúa (editors): As matemáticas do veciño. Seminario de Iniciación á Investigación. Vol. I, Instituto de Matemáticas, Universidade de Santiago de Compostela, 2006.