Simetría, homoxeneidade e curvatura
Proxecto de investigación para investigadores emerxentes
Xunta de Galicia EM2014/009
Publicacións
Artigos publicados e aceptados
- 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, 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.
- E. Calviño-Louzao, M. Fernández-López, E.García-Río, R. Vázquez-Lorenzo: Homogeneous Ricci almost solitons, Israel J. Math. 220 (2017), 531-546.
- E. Calviño Louzao, E. García Río, P. Gilkey, J. Park, R. Vázquez Lorenzo, Aspects of Differential Geometry III, 2017, Synthesis Lectures on Mathematics and Statistics.
- M. Domínguez-Vázquez: Isoparametric foliations on complex projective spaces, Trans. Amer. Math. Soc. 368 (2016), no. 2, 1211-1249.
- M. Brozos-Vázquez, E. García-Río: Four-dimensional neutral signature self-dual gradient Ricci solitons, Indiana Univ. Math. J. 65 (2016), 1921-1943.
- E. Calviño-Louzao, E. García-Río, M. Sixto-Neira, M. E. Vázquez-Abal: Biharmonic maps on tangent and cotangent bundles, J. Geom. Phys. 101, (2016), 1-10.
- M. Brozos-Vázquez, E. García-Río, P. Gilkey: Homogeneous affine surfaces: moduli spaces, J. Math. Anal. Appl. 444 (2016), no. 2, 1155-1184.
- M. Brozos-Vázquez, E. García-Río, X. Valle-Regueiro: Half conformally flat gradient Ricci almost solitons, Proc. A. 472 (2016), no. 2189, 20160043, 12 pp.
- M. Brozos-Vázquez, E. Calviño-Louzao, E. García-Río, R. Vázquez-Lorenzo: Local structure of self-dual gradient Yamabe solitons, Geometry, Algebra and applications: From Mechanics to Crytography. In Honor of Jaime Muñoz Masqué, Springer Proc. Math. Stat., 2016, 25-35.
- J. Berndt, M. Domínguez-Vázquez: Cohomogeneity one actions on some noncompact symmetric spaces of rank two, Transform. Groups 20 (2015), 921-938.
- E. Calviño-Louzao, E. García-Río, M. E. Vázquez-Abal, R. Vázquez-Lorenzo: Geometric properties of generalized symmetric spaces, Proc. Roy. Soc. Edinburgh Sect. A, 145, (2015), 47-71.
- E. Calviño-Louzao, J. Seoane-Bascoy, M. E. Vázquez-Abal, R. Vázquez-Lorenzo: Invariant Ricci collineations on three-dimensional Lie groups, J. Geom. Phys. 96, (2015), 59-71.
- E. Calviño-Louzao, E. García-Río, J. Seoane-Bascoy, R. Vázquez-Lorenzo: Three-dimensional manifolds with special Cotton tensor, Int. J. Geom. Methods Mod. Phys. 12, 1550005 (2015) [16 pages].
- 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, World Scientific, 2015, 1560013 (6 pages).
- M. Domínguez-Vázquez: Canonical extension of submanifolds and foliations in noncompact symmetric spaces, Int. Math. Res. Not. IMRN 22 (2015), 12114-12125.
- M. Brozos-Vázquez, E. García-Río, S. Gavino-Fernández: Locally conformally flat Lorentzian quasi-Einstein Manifolds, Monatsh. Math. 173 (2014), 175-186.
- E. Calviño-Louzao, E. García-Río, J. Seoane-Bascoy, R. Vázquez-Lorenzo: Three-dimensional conformally symmetric manifolds, Ann. Mat. Pura Appl. 193 (2014), 1661-1670.
- M. Domínguez-Vázquez, C. Gorodski: Polar foliations on quaternionic projective spaces, a aparecer en Tohoku Math. J.
- E. Calviño-Louzao, E. García-Río, I. Gutiérrez-Rodríguez, R. Vázquez-Lorenzo: Conformal geometry of non-reductive four-dimensional homogeneous spaces, a aparecer en Math. Nachr.
- M. Brozos-Vázquez, E. García-Río, S. Gavino-Fernández, P. Gilkey: The structure of the Ricci tensor on locally homogeneous Lorentzian gradient Ricci solitons, a aparecer en Proc. Roy. Soc. Edinburgh Sect. A.
- M. Brozos-Vázquez, E. García-Río, P. Gilkey: Homogeneous affine surfaces: Affine Killing vector fields and gradient Ricci solitons, a aparecer en J. Math. Soc. Japan.
- J. C. Díaz-Ramos, M. Domínguez-Vázquez, A. Kollross: Polar actions on complex hyperbolic spaces, a aparecer en Math. Z.
- J. C. Díaz-Ramos, M. Domínguez-Vázquez, C. Vidal-Castiñeira: Strongly 2-Hopf hypersurfaces in complex projective and hyperbolic planes, a aparecer en Ann. Mat. Pura Appl.
- J. C. Díaz-Ramos, M. Domínguez-Vázquez, C. Vidal-Castiñeira: Isoparametric submanifolds in two-dimensional complex space forms, a aparecer en Ann. Glob. Anal. Geom.
- J. C. Díaz-Ramos, M. Domínguez-Vázquez, V. Sanmartín-López: Anti-De Sitter spacetimes and isoparametric hypersurfaces in complex space forms, Proceedings of the 8th International Meeting on Lorentzian Geometry, GELOMA, Málaga, September 20-23, 2016, a aparecer.
- V. Sanmartín-López: Spacelike isoparametric hypersurfaces, a aparecer en Differential Geom. Appl.
Artigos pendentes de publicación
- E. Calviño-Louzao, E. García-Río, I. Gutiérrez-Rodríguez, R. Vázquez-Lorenzo: Bach-flat isotropic gradient Ricci solitons, arXiv:1702.07369 [math.DG].
- M. Brozos-Vázquez, M. J. Pereira-Sáez, M. J. Souto-Salorio, A. D. Tarrío-Tobar: Classification of the relative positions between a hyperboloid and a sphere, arxiv:1602.06744 [math.DG].
- M. Brozos-Vázquez, E. García-Río, P. Gilkey, X. Valle-Regueiro: Half conformally flat generalized quasi-Einstein manifolds, arxiv:1702.06714 [math.DG].
- M. Brozos-Vázquez, E. García-Río, P. Gilkey, X. Valle-Regueiro: A natural linear equation in affine geometry: the affine quasi-Einstein equation, arxiv:1705.08352 [math.DG].