Some Problems on Ruled Hypersurfaces in Nonflat Complex Space Forms

被引：5

作者：

Perez-Barral, Olga ^{[1
]}

机构：

[1] Univ Santiago de Compostela, Dept Math, Santiago De Compostela, Spain

来源：

RESULTS IN MATHEMATICS | 2020年 / 75卷 / 04期

关键词：

Complex projective space; complex hyperbolic space; ruled hypersurface; minimal hypersurface; strongly 2-Hopf hypersurface; biharmonic hypersurface; REAL HYPERSURFACES;

D O I：

10.1007/s00025-020-01294-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：12

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