Homoxeneidade e curvatura de variedades e subvariedades
Proxectos de excelencia, reforzo de traxectorias emerxentes
Xunta de Galicia ED431F 2017/03
Publicacións
Artigos publicados e aceptados
J. C.
Díaz-Ramos, M.
Domínguez-Vázquez, C. Vidal-Castiñeira:
Isoparametric submanifolds in two-dimensional complex space forms, Ann. Glob. Anal. Geom.53 (2018), 205-216.
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
M.
Brozos-Vázquez, E. García-Río, P. Gilkey: Homogeneous affine
surfaces: Affine Killing vector fields and gradient Ricci solitons,
J. Math. Soc. Japan70, (2018), 25-69.
M.
Brozos-Vázquez, E. García-Río, P. Gilkey, X. Valle-Regueiro:
A natural linear equation in affine geometry: the affine quasi-Einstein
equation, Proc. Amer. Math. Soc.146 (2018) 3485-3497.
M.
Brozos-Vázquez, E. García-Río, S.
Gavino-Fernández, P.
Gilkey: The structure of the Ricci tensor on locally homogeneous
Lorentzian gradient Ricci solitons, Proc. Roy. Soc.
Edinburgh Sect. A148 (2018), 461-482.
M.
Brozos-Vázquez, E. García-Río, P. Gilkey, X. Valle-Regueiro:
The affine quasi-Einstein Equation for homogeneous surfaces,
Manuscripta math.157, (2018), 279-294.
M.
Brozos-Vázquez, M. J. Pereira-Sáez, M. J. Souto-Salorio,
A. D. Tarrío-Tobar:
Classification of the relative positions between a circular hyperboloid
of one sheet and a sphere, Math. Methods Appl. Sci.41 (2018) 5274-5292.
M.
Brozos-Vázquez, E. García-Río, P. Gilkey, X. Valle-Regueiro:
Half conformally flat generalized quasi-Einstein manifolds of metric signature (2,2),
International J. Math.29, 1850002 (2018) [25 pages].
E. Calviño-Louzao, E. García-Río, I.
Gutiérrez-Rodríguez, R. Vázquez-Lorenzo: Bach-flat
isotropic gradient Ricci solitons, Pacific J. Math.293 (2018),
75-99.
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, I.
Gutiérrez-Rodríguez, R. Vázquez-Lorenzo: Conformal
geometry of non-reductive four-dimensional homogeneous spaces,
Math. Nachr.290, (2017), 1470-1490.
V. Sanmartín-López: Spacelike isoparametric hypersurfaces,
Differential Geom. Appl.54 (2017), part A, 53-58.
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.
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,
Morgan&Claypool Publishers, (2017), 159pp.
X. Valle-Regueiro: Differential Geometry in Lorentz-Minkowski space,
Proceedings of the Young Researcher Workshop on Differential Geometry
in Minkowski Space, Ed. Universidad de Granada, Granada, España,
2017, 183-190.
E. Calviño-Louzao, X. García-Martínez,
E. García-Río, I. Gutiérrez-Rodríguez, R. Vázquez-Lorenzo:
Conformally Einstein and Bach-flat four-dimensional homogeneous manifolds,
a aparecer en J. Math. Pures Appl.
E. Calviño-Louzao, E. García-Río,
P.
Gilkey, I. Gutiérrez-Rodríguez, R. Vázquez-Lorenzo:
Affine surfaces which are Kähler, para-Kähler or nilpotent Kähler,
Results Math. (2018) 73:135.
P.
Gilkey, X. Valle-Regueiro:
Applications of PDEs to the study of affine surface geometry,
a aparecer en Mat. Vesnik.
Artigos pendentes de publicación
J. Berndt,
V. Sanmartín-López:
Submanifolds with constant principal curvatures in Riemannian symmetric spaces,
arXiv:1805.10088 [math.DG].
M.
Domínguez-Vázquez, J. M. Manzano: Isoparametric surfaces
in E(κ, τ)-spaces, arXiv:1803.06154v1 [math.DG].
M. Domínguez-Vázquez,
O. Pérez-Barral: Ruled hypersurfaces with constant mean curvature in complex space forms,
arXiv:1802.09341v1 [math.DG].
M. Domínguez-Vázquez,
A. Enciso,
D. Peralta-Salas:
Solutions to the overdetermined boundary problem for semilinear equations
with position-dependent nonlinearities, arXiv:1711.08649v1 [math.AP].
M.
Brozos-Vázquez, E. García-Río,
P. Gilkey, X. Valle Regueiro:
Solutions to the affine quasi-Einstein equation for homogeneous surfaces,
arXiv:1802.07953 [math.DG].
E. Calviño-Louzao, E. García-Río,
P.
Gilkey, I. Gutiérrez-Rodríguez, R. Vázquez-Lorenzo:
Constructing Bach Flat Manifolds of signature (2,2) using the modified Riemannian extension,
arXiv:1807.09218 [math.DG].