25 citations · 51 across the 18 of their papers we have counts for
23 papers
Cohomogeneity one actions on symmetric spaces of noncompact type and higher rank
Jose Carlos Diaz-Ramos, Miguel Dominguez-Vazquez, Tomas Otero
We develop a new structural result for cohomogeneity one actions on (not necessarily irreducible) symmetric spaces of noncompact type and arbitrary rank. We apply this result to cl…
Homogeneous CR submanifolds of complex hyperbolic spaces
Jose Carlos Diaz-Ramos, Miguel Dominguez-Vazquez, Olga Perez-Barral
We classify homogeneous CR submanifolds in complex hyperbolic spaces arising as orbits of a subgroup of the solvable part of the Iwasawa decomposition of the isometry group of the…
Homogeneous Lagrangian foliations on complex space forms
Jose Carlos Diaz-Ramos, Miguel Dominguez-Vazquez, Takahiro Hashinaga
We classify holomorphic isometric actions on complex space forms all whose orbits are Lagrangian submanifolds, up to orbit equivalence. The only examples are Lagrangian affine subs…
Homogeneous and inhomogeneous isoparametric hypersurfaces in rank one symmetric spaces
Jose Carlos Diaz-Ramos, Miguel Dominguez-Vazquez, Alberto Rodriguez-Vazquez
We conclude the classification of cohomogeneity one actions on symmetric spaces of rank one by classifying cohomogeneity one actions on quaternionic hyperbolic spaces up to orbit e…
Submanifold geometry in symmetric spaces of noncompact type
Jose Carlos Diaz-Ramos, Miguel Dominguez-Vazquez, Victor Sanmartin-Lopez
In this survey article we provide an introduction to submanifold geometry in symmetric spaces of noncompact type. We focus on the construction of examples and the classification pr…
On homogeneous manifolds whose isotropy actions are polar
Jose Carlos Diaz-Ramos, Miguel Dominguez-Vazquez, Andreas Kollross
We show that simply connected Riemannian homogeneous spaces of compact semisimple Lie groups with polar isotropy actions are symmetric, generalizing results of Fabio Podesta and th…