Existence and uniqueness of inhomogeneous ruled hypersurfaces with shape operator of constant norm in the complex hyperbolic space

Autor: Dominguez-Vazquez, Miguel, Perez-Barral, Olga

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 example in the complex hyperbolic space.
Comment: 3 pages

Externí odkaz: http://arxiv.org/abs/2011.08831

Some problems on ruled hypersurfaces in nonflat complex space forms

Autor: Perez-Barral, Olga

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 the projective case. We also show that biharmonic ruled real hypersur

Externí odkaz: http://arxiv.org/abs/2002.01907

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Ruled hypersurfaces and homogeneous submanifolds in semi-Riemannian manifolds

Autor: Pérez Barral, Olga

Publikováno v: Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
instname
Minerva: Repositorio Institucional de la Universidad de Santiago de Compostela
Universidad de Santiago de Compostela (USC)

The notion of symmetry can be defined in a rigorous way in terms of group theory. In the setting of semi-Riemannian geometry, the natural group to consider is the isometry group. In this thesis we study some specific types of submanifolds of semi-Rie

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::60bc0af24f782530817a99a72f081a0c
http://hdl.handle.net/10347/24555