Miguel Domínguez Vázquez

Research articles

M. Domínguez-Vázquez, A. Kollross
On isoparametric foliations of complex and quaternionic projective spaces
arXiv:2409.06032v1
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M. Domínguez-Vázquez, V. Sanmartín-López
Isoparametric hypersurfaces in symmetric spaces of non-compact type and higher rank
Compositio Math. 160 (2024), no. 2, 451-462.
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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.
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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.
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J. C. Díaz-Ramos, M. Domínguez-Vázquez, O. Pérez-Barral
Homogeneous CR submanifolds of complex hyperbolic spaces
Publ. Mat. 67 (2023), 891-912.
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J. C. Díaz-Ramos, M. Domínguez-Vázquez, T. Hashinaga
Homogeneous Lagrangian foliations on complex space forms
Proc. Amer. Math. Soc. 151 (2023), 823-833.
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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.
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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.
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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.
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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.
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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.
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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.
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J. C. Díaz-Ramos, M. Domínguez-Vázquez, V. Sanmartín-López
Submanifold geometry in symmetric spaces of noncompact type
São Paulo J. Math. Sci. (Special Section: An Homage to Manfredo P. do Carmo) 15 (2021), 75-110.
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J. C. Díaz-Ramos, M. Domínguez-Vázquez, A. Kollross
On homogeneous manifolds whose isotropy actions are polar
Manuscripta Math. 161 (2020), 15-34.
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M. Domínguez-Vázquez, O. Pérez-Barral
Ruled hypersurfaces with constant mean curvature in complex space forms
J. Geom. Phys. 144 (2019), 121-125.
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M. Domínguez-Vázquez, A. Enciso, D. Peralta-Salas
Solutions to the overdetermined boundary problem for semilinear equations with position-dependent nonlinearities
Adv. Math. 351 (2019), 718-760.
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M. Domínguez-Vázquez, C. Gorodski
Polar foliations on quaternionic projective spaces
Tohoku Math. J. (2), 70 (2018), no. 3, 353-375.
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J. C. Díaz-Ramos, M. Domínguez-Vázquez, C. Vidal-Castiñeira
Strongly 2-Hopf hypersurfaces in complex projective and hyperbolic planes
Ann. Mat. Pura Appl. (4) 197 (2018), no. 2, 469-486.
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J. C. Díaz-Ramos, M. Domínguez-Vázquez, C. Vidal-Castiñeira
Isoparametric submanifolds in two-dimensional complex space forms
Ann. Global Anal. Geom. 53 (2018), no. 2, 205-216.
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J. C. Díaz-Ramos, M. Domínguez-Vázquez, A. Kollross
Polar actions on complex hyperbolic spaces
Math. Z. 287 (2017), no. 3-4, 1183-1213.
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J. C. Díaz-Ramos, M. Domínguez-Vázquez, V. Sanmartín-López
Isoparametric hypersurfaces in complex hyperbolic spaces
Adv. Math. 314 (2017), 756-805.
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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), no. 1, 442-465.
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M. Domínguez-Vázquez
Isoparametric foliations on complex projective spaces
Trans. Amer. Math. Soc. 368 (2016), no. 2, 1211-1249.
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M. Domínguez-Vázquez
Canonical extension of submanifolds and foliations in noncompact symmetric spaces
Int. Math. Res. Not. (IMRN) 2015 (2015), no. 22, 12114-12125.
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J. Berndt, M. Domínguez-Vázquez
Cohomogeneity one actions on some noncompact symmetric spaces of rank two
Transform. Groups 20 (2015), no. 4, 921-938.
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J. C. Díaz-Ramos, M. Domínguez-Vázquez
Isoparametric hypersurfaces in Damek-Ricci spaces
Adv. Math. 239 (2013), 1-17.
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J. C. Díaz-Ramos, M. Domínguez-Vázquez
Inhomogeneous isoparametric hypersurfaces in complex hyperbolic spaces
Math. Z. 271 (2012), 1037-1042.
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M. Domínguez-Vázquez
Real hypersurfaces with constant principal curvatures in complex space forms
Differential Geom. Appl. 29 (2011), suppl. 1, 65-70.
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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.
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Book chapters

J. C. Díaz-Ramos, M. Domínguez-Vázquez, V. Sanmartín-López
Anti-De Sitter spacetimes and isoparametric hypersurfaces in complex space forms
Lorentzian Geometry and Related Topics, 87–101, Springer Proc. Math. Stat., 211, Springer, Cham, 2017.
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M. Domínguez-Vázquez
On the existence of inhomogeneous isoparametric foliations of higher codimension on complex projective spaces
Pure and Applied Differential Geometry - PADGE 2012 (In Memory of Franki Dillen), 116-125, Shaker Verlag, Aachen, 2013.
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M. Domínguez-Vázquez
Some interesting families of non-Hopf real hypersurfaces in nonflat complex space forms
Proceedings of the 17th International Workshop on Differential Geometry and Related Fields, 133-124, NIMS (Daejeon), vol. 17, 2013.
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M. Domínguez-Vázquez
On isoparametric hypersurfaces in complex hyperbolic spaces
International Meeting on Differential Geometry (Córdoba 2010), 71-92, Universidad de Córdoba, 2013.
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M. Domínguez-Vázquez
On an inhomogeneous isoparametric family of hypersurfaces with constant principal curvatures in the Cayley hyperbolic plane
XX International Fall Workshop on Geometry and Physics, 169-173, AIP Conf. Proc., 1460, Amer. Inst. Phys., Melville, NY, 2012.
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Monographs

M. Domínguez-Vázquez
Isoparametric foliations and polar actions on complex space forms
Publications of the Department of Geometry and Topology 126, University of Santiago de Compostela (2013).
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M. Domínguez-Vázquez
Hipersuperficies con curvaturas principais constantes nos espazos proxectivo e hiperbólico complexos
Publications of the Department of Geometry and Topology 118, University of Santiago de Compostela (2010).
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Other publications

M. Domínguez Vázquez, A. Martínez Calvo, J. Seoane Bascoy (editors)
As matemáticas do veciño. Actas do Seminario de Iniciación á Investigación 2010
Institute of Mathematics, University of Santiago de Compostela (2011). ISSN: 2171-6536.
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M. Domínguez Vázquez, A. Martínez Calvo, J. Seoane Bascoy (editors)
As matemáticas do veciño. Actas do Seminario de Iniciación á Investigación 2009
Institute of Mathematics, University of Santiago de Compostela (2010). ISSN: 2171-6536.
[pdf]

Research databases