Publicacións

Artigos publicados

• M. Brozos-Vázquez, S. Caeiro-Oliveira, E. García-Río: Critical metrics for all quadratic curvature functionals. Bull. London Math. Soc. 53 (2021), no. 3, 680-685.
• M. Brozos-Vázquez, S. Caeiro-Oliveira, E. García-Río: Three-dimensional homogeneous critical metrics for quadratic curvature functionals. Ann. Mat. Pura Appl. (4) 200 (2021), 363-378.
• M. Brozos-Vázquez, S. Caeiro-Oliveira, E. García-Río: Critical metrics and massive gravity solutions on three-dimensional Brinkmann waves. Classical Quantum Gravity 39 (2022), no. 1, Paper No. 015007, 20 pp.
• M. Brozos-Vázquez, S. Caeiro-Oliveira, E. García-Río: Curvature homogeneous critical metrics in dimension three. J. Math. Anal. Appl. 514 (2022), no. 2, Paper No. 126354.
• M. Brozos-Vázquez, S. Caeiro-Oliveira, E. García-Río: Homogeneous and curvature homogeneous Lorentzian critical metrics. Proc. Royal Soc. Edinburgh: Section A Math. 153 (2023), no. 4, 1272-1296.
• M. Brozos-Vázquez, D. Mojón-Álvarez: Vacuum Einstein field equations in smooth metric measure spaces: the isotropic case. Classical Quantum Gravity 39 (2022), no. 13, Paper No. 135013, 20 pp.
• E. Calviño-Louzao, M. Ferreiro-Subrido, E. Garcia-Rio, R. Vázquez-Lorenzo: Homogeneous four-manifolds with half-harmonic Weyl curvature tensor. Forum Math. (2022), doi.org/10.1515/forum-2022-0007.
• E. Calviño-Louzao, M. Ferreiro-Subrido, E. García-Río, R. Vázquez-Lorenzo: Homogeneous Riemannian structures in dimension three. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 117 (2023), no. 2, Paper No. 70, 11 pp.
• E. Calviño-Louzao, E. García-Río, I. Gutiérrez-Rodríguez, R. Vázquez-Lorenzo: Homogeneous conformal C-spaces in dimension four. Osaka J. Math. 58 (2021), no. 2, 413–433.
• 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. Kollross: On homogeneous manifolds whose isotropy actions are polar. Manuscripta Math. 161 (2020), 15-34.
• J. C. Díaz-Ramos, M. Domínguez-Vázquez, T. Otero: 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, 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, V. Sanmartín-López: Submanifold geometry in symmetric spaces of noncompact type. São Paulo J. Math. Sci. 15 (2021), no. 1, 75-110.
• M. Domínguez-Vázquez, A. Enciso, D. Peralta-Salas: Piecewise smooth stationary Euler flows with compact support via overdetermined boundary problems. Arch. Rational Mech. Anal. 239 (2021), 1327–1347.
• M. Domínguez-Vázquez, A. Enciso, D. Peralta-Salas: Overdetermined boundary problems with nonconstant Dirichlet and Neumann data. Anal. PDE 16 (2023), no. 9, 1989-2003.
• M. Domínguez-Vázquez, D. González-Álvaro, L. Mouillé: Infinite families of manifolds of positive kth-intermediate Ricci curvature with k small. Math. Ann. 386 (2023), 1979-2014.
• M. Domínguez-Vázquez, J. M. Manzano: Isoparametric surfaces in E(κ, τ)-spaces. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 22 (2021), 269–285.
• M. Domínguez-Vázquez, O. Pérez-Barral: Existence and uniqueness of inhomogeneous ruled hypersurfaces with shape operator of constant norm in the complex hyperbolic space. Internat. J. Math. 32 (2021), no. 08, 2150049, 4 pp.
• M. Domínguez-Vázquez, Víctor Sanmartín-López, Hiroshi Tamaru: Codimension one Ricci soliton subgroups of solvable Iwasawa groups. J. Math. Pures Appl. 152 (2021), 69-93.
• M. Ferreiro-Subrido, E. García-Río, R. Vázquez-Lorenzo: Locally conformally flat Kähler and para-Kähler manifolds. Ann. Global Anal. Geom. 59 (2021), no. 4, 483-500.
• M. Ferreiro-Subrido, E. García-Río, R. Vázquez-Lorenzo: Ricci solitons on four-dimensional Lorentzian Lie groups. Anal. Math. Phys. 12 (2022), no. 2, Paper No. 61, 35 pp.
• E. García-Río, A. Hahi-Badali, R. Mariño-Villar, M. E. Vázquez-Abal: Four-dimensional homogeneous manifolds satisfying some Einstein-like conditions. Kodai Math. J. 43 (2020), 465-488.
• E. García-Río, R. Mariño-Villar, M. E. Vázquez-Abal, R. Vázquez-Lorenzo: Homogeneous generalized Einstein manifolds in dimension four, Math. Meth. Appl. Sci. 44 (2021), no. 18, 14316–14327.
• E. García-Río, R. Mariño-Villar, M. E. Vázquez-Abal, R. Vázquez-Lorenzo: Fixed points and steady solitons for the two-loop renormalization group flow. J. Fixed Point Theory Appl. 25 (2023), no. 1, Paper No. 42, 29 pp.
• A. Kollross, A. Rodríguez-Vázquez: Totally geodesic submanifolds in exceptional symmetric spaces. Adv. in Math. 418 (2023), 108949, 37pp.
• R. Mariño-Villar: Structure of locally conformally flat manifolds satisfying some weakly-Einstein conditions. J. Geom. Phys. 186 (2023), 104754.
• O. Pérez-Barral: Some problems on ruled hypersurfaces in nonflat complex space forms. Results Math. 75 (2020), no. 4, 167.

Artigos pendentes de publicación

• J. Berndt, V. Sanmartín-López: Submanifolds with constant principal curvatures in Riemannian symmetric spaces. Comm. Anal. Geom., a aparecer.
• M. Brozos-Vázquez, D. Mojón-Álvarez: Rigidity of weighted Einstein smooth metric measure spaces. J. Math. Pures Appl., a aparecer.
• E. Calviño-Louzao, E. García-Río, I. Gutiérrez-Rodríguez, R. Vázquez-Lorenzo: Conformally Einstein Lorentzian Lie groups with Heisenberg symmetry, arXiv:2303.00646.
• E. Calviño-Louzao, E. García-Río, I. Gutiérrez-Rodríguez, R. Vázquez-Lorenzo: Conformally Einstein Lorentzian Lie groups: extensions of the Euclidean and Poincaré groups, preprint.
• J. C. Díaz-Ramos, J. M. Lorenzo-Naveiro: Codimension two polar homogeneous foliations on symmetric spaces of noncompact type. arXiv:2302.08339.
• M. Domínguez-Vázquez, V. Sanmartín-López: Isoparametric hypersurfaces in symmetric spaces of non-compact type and higher rank. Compositio Math., a aparecer.
• M. Ferreiro-Subrido, E. García-Río, R. Vázquez-Lorenzo: Geometry of four-dimensional Kähler and para-Kähler Lie groups. Int. J. Math., a aparecer.
• C. Olmos, A. Rodríguez-Vázquez: Hopf fibrations and totally geodesic submanifolds. arXiv:2302.11711.
• A. Rodríguez-Vázquez: Totally geodesic submanifolds in products of rank one symmetric spaces. arXiv:2205.14720.
• V. Sanmartín-López: Codimension one Ricci soliton subgroups of nilpotent Iwasawa groups. arXiv:2212.04743.

Capítulos de libro

• J. C. Díaz-Ramos, M. Domínguez-Vázquez, T. Otero: Homogeneous hypersurfaces in symmetric spaces. New Trends in Geometric Analysis, Spanish Network of Geometric Analysis 2007-2021, Springer Cham, 2023.
• E. Calviño-Louzao, E. García-Río, I. Gutiérrez-Rodríguez, R. Vázquez-Lorenzo: Four-dimensional homogeneous Kähler Ricci solitons. Mexican mathematicians in the world—trends and recent contributions, 31–39, Contemp. Math., 775, Amer. Math. Soc., Providence, RI, 2021.
• E. Calviño-Louzao, E. García-Río, I. Gutiérrez-Rodríguez, R. Vázquez-Lorenzo: Four-dimensional homogeneous generalizations of Einstein metrics. Geometry, Lie theory and applications—the Abel Symposium 2019, 1–20, Abel Symp., 16, Springer, Cham, 2022.
• M. Ferreiro-Subrido: Bochner-Flat Para-Kähler Surfaces. Developments in Lorentzian Geometry—GELOMA 2021, 81-92, Springer Proceedings in Mathematics & Statistics, vol. 389, Springer, Cham, 2022.