4 papers
Existence and uniqueness of inhomogeneous ruled hypersurfaces with shape operator of constant norm in the complex hyperbolic space
Miguel Dominguez-Vazquez, Olga Perez-Barral
We complete the classification of ruled real hypersurfaces with shape operator of constant norm in nonflat complex space forms by showing the existence of a unique inhomogeneous ex…
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…
Some problems on ruled hypersurfaces in nonflat complex space forms
Olga Perez-Barral
We study ruled real hypersurfaces whose shape operators have constant squared norm in nonflat complex space forms. In particular, we prove the nonexistence of such hypersurfaces in…
Ruled hypersurfaces with constant mean curvature in complex space forms
Miguel Dominguez-Vazquez, Olga Perez-Barral
We show that ruled real hypersurfaces with constant mean curvature in the complex projective and hyperbolic spaces must be minimal. This provides their classification, by virtue of…