Some problems on ruled hypersurfaces in nonflat complex space forms
Differential Geometry
2020-02-06 v1
Abstract
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 hypersurfaces in nonflat complex space forms are minimal, which provides their classification due to a known result of Lohnherr and Reckziegel.
Keywords
Cite
@article{arxiv.2002.01907,
title = {Some problems on ruled hypersurfaces in nonflat complex space forms},
author = {Olga Perez-Barral},
journal= {arXiv preprint arXiv:2002.01907},
year = {2020}
}
Comments
11 pages