Warped product hypersurfaces in pseudo-Riemannian real space forms

被引：1

作者：

Moruz, Marilena ^{[1
]}

Vrancken, Luc ^{[1
,2
]}

机构：

[1] Katholieke Univ Leuven, Dept Wiskunde, BE-3001 Leuven, Belgium

[2] Univ Polytech Hauts France, LMI, F-59313 Valenciennes, France

来源：

GEOMETRY OF SUBMANIFOLDS | 2020年 / 756卷

关键词：

Warped product hypersurfaces; rotational hypersurfaces; pseudo-Riemannian real space forms;

D O I：

10.1090/conm/756/15207

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study hypersurfaces in pseudo-Riemannian real space forms of non-zero sectional curvature, which write as a warped product of a 1-dimensional base with an (n- 1)-manifold of constant sectional curvature. We show that either they have constant sectional curvature or they are contained in a rotational hypersurface. Therefore, we first define rotational hypersurfaces in indefinite real space forms of non-zero sectional curvature.

引用

页码：173 / 186

页数：14

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