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math.DG2008★ 11 cited
Proper isometric actions
J. Carlos Diaz-Ramos
We prove the following to results: (1) A subgroup G of the isometry group of a Riemannian manifold M acts properly on M if and only if G is closed in the isometry group of M. (2) T…
math.DG2006
Homogeneous hypersurfaces in complex hyperbolic spaces
Jurgen Berndt, Jose Carlos Diaz-Ramos
We study the geometry of homogeneous hypersurfaces and their focal sets in complex hyperbolic spaces. In particular, we provide a characterization of the focal set in terms of its…
math.DG2005
Real hypersurfaces with constant principal curvatures in complex hyperbolic spaces
Jurgen Berndt, Jose Carlos Diaz-Ramos
We classify all real hypersurfaces with three distinct constant principal curvatures in complex hyperbolic spaces of dimension greater than two.