Miguel Domínguez Vázquez
Research articles
M. Domínguez-Vázquez, A. Kollross
On isoparametric foliations of complex and quaternionic projective spaces
arXiv:2409.06032v1
On isoparametric foliations of complex and quaternionic projective spaces
arXiv:2409.06032v1
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.
Isoparametric hypersurfaces in symmetric spaces of non-compact type and higher rank
Compositio Math. 160 (2024), no. 2, 451-462.
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.
Overdetermined boundary problems with nonconstant Dirichlet and Neumann data
Anal. PDE 16 (2023), no. 9, 1989-2003.
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.
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.
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.
Homogeneous Lagrangian foliations on complex space forms
Proc. Amer. Math. Soc. 151 (2023), 823-833.
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.
Infinite families of manifolds of positive kth-intermediate Ricci curvature with k small
Math. Ann. 386 (2023), 1979-2014.
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.
Homogeneous and inhomogeneous isoparametric hypersurfaces in rank one symmetric spaces
J. Reine Angew. Math. 779 (2021), 189-222.
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.
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.
Codimension one Ricci soliton subgroups of solvable Iwasawa groups
J. Math. Pures Appl. 152 (2021), 69-93.
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.
Piecewise smooth stationary Euler flows with compact support via overdetermined boundary problems
Arch. Rational Mech. Anal. 239 (2021), 1327–1347.
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.
Isoparametric surfaces in E(κ, τ)-spaces
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 22 (2021), 269-285.
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.
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.
J. C. Díaz-Ramos, M. Domínguez-Vázquez, A. Kollross
On homogeneous manifolds whose isotropy actions are polar
Manuscripta Math. 161 (2020), 15-34.
On homogeneous manifolds whose isotropy actions are polar
Manuscripta Math. 161 (2020), 15-34.
M. Domínguez-Vázquez, O. Pérez-Barral
Ruled hypersurfaces with constant mean curvature in complex space forms
J. Geom. Phys. 144 (2019), 121-125.
Ruled hypersurfaces with constant mean curvature in complex space forms
J. Geom. Phys. 144 (2019), 121-125.
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.
Solutions to the overdetermined boundary problem for semilinear equations with position-dependent nonlinearities
Adv. Math. 351 (2019), 718-760.
M. Domínguez-Vázquez, C. Gorodski
Polar foliations on quaternionic projective spaces
Tohoku Math. J. (2), 70 (2018), no. 3, 353-375.
Polar foliations on quaternionic projective spaces
Tohoku Math. J. (2), 70 (2018), no. 3, 353-375.
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.
Strongly 2-Hopf hypersurfaces in complex projective and hyperbolic planes
Ann. Mat. Pura Appl. (4) 197 (2018), no. 2, 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), no. 2, 205-216.
Isoparametric submanifolds in two-dimensional complex space forms
Ann. Global Anal. Geom. 53 (2018), no. 2, 205-216.
J. C. Díaz-Ramos, M. Domínguez-Vázquez, A. Kollross
Polar actions on complex hyperbolic spaces
Math. Z. 287 (2017), no. 3-4, 1183-1213.
Polar actions on complex hyperbolic spaces
Math. Z. 287 (2017), no. 3-4, 1183-1213.
J. C. Díaz-Ramos, M. Domínguez-Vázquez, V. Sanmartín-López
Isoparametric hypersurfaces in complex hyperbolic spaces
Adv. Math. 314 (2017), 756-805.
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), no. 1, 442-465.
Real hypersurfaces with two principal curvatures in complex projective and hyperbolic planes
J. Geom. Anal. 27 (2017), no. 1, 442-465.
M. Domínguez-Vázquez
Isoparametric foliations on complex projective spaces
Trans. Amer. Math. Soc. 368 (2016), no. 2, 1211-1249.
Isoparametric foliations on complex projective spaces
Trans. Amer. Math. Soc. 368 (2016), no. 2, 1211-1249.
M. Domínguez-Vázquez
Canonical extension of submanifolds and foliations in noncompact symmetric spaces
Int. Math. Res. Not. (IMRN) 2015 (2015), no. 22, 12114-12125.
Canonical extension of submanifolds and foliations in noncompact symmetric spaces
Int. Math. Res. Not. (IMRN) 2015 (2015), no. 22, 12114-12125.
J. Berndt, M. Domínguez-Vázquez
Cohomogeneity one actions on some noncompact symmetric spaces of rank two
Transform. Groups 20 (2015), no. 4, 921-938.
Cohomogeneity one actions on some noncompact symmetric spaces of rank two
Transform. Groups 20 (2015), no. 4, 921-938.
J. C. Díaz-Ramos, M. Domínguez-Vázquez
Isoparametric hypersurfaces in Damek-Ricci spaces
Adv. Math. 239 (2013), 1-17.
Isoparametric hypersurfaces in Damek-Ricci spaces
Adv. Math. 239 (2013), 1-17.
J. C. Díaz-Ramos, M. Domínguez-Vázquez
Inhomogeneous isoparametric hypersurfaces in complex hyperbolic spaces
Math. Z. 271 (2012), 1037-1042.
Inhomogeneous isoparametric hypersurfaces in complex hyperbolic spaces
Math. Z. 271 (2012), 1037-1042.
M. Domínguez-Vázquez
Real hypersurfaces with constant principal curvatures in complex space forms
Differential Geom. Appl. 29 (2011), suppl. 1, 65-70.
Real hypersurfaces with constant principal curvatures in complex space forms
Differential Geom. Appl. 29 (2011), suppl. 1, 65-70.
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.
Non-Hopf real hypersurfaces with constant principal curvatures in complex space forms
Indiana Univ. Math. J. 60 (2011), 859-882.
Book chapters
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, RSME Springer Series, 2023.
Homogeneous hypersurfaces in symmetric spaces
New Trends in Geometric Analysis - Spanish Network of Geometric Analysis 2007-2021, RSME Springer Series, 2023.
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.
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.
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.
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.
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.
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.
M. Domínguez-Vázquez
On isoparametric hypersurfaces in complex hyperbolic spaces
International Meeting on Differential Geometry (Córdoba 2010), 71-92, Universidad de Córdoba, 2013.
On isoparametric hypersurfaces in complex hyperbolic spaces
International Meeting on Differential Geometry (Córdoba 2010), 71-92, Universidad de Córdoba, 2013.
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.
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.
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).
Isoparametric foliations and polar actions on complex space forms
Publications of the Department of Geometry and Topology 126, University of Santiago de Compostela (2013).
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).
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).
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.
As matemáticas do veciño. Actas do Seminario de Iniciación á Investigación 2010
Institute of Mathematics, University of Santiago de Compostela (2011). ISSN: 2171-6536.
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.
As matemáticas do veciño. Actas do Seminario de Iniciación á Investigación 2009
Institute of Mathematics, University of Santiago de Compostela (2010). ISSN: 2171-6536.