On the Angle of Complete Hypersurfaces in Semi-Riemannian Product Spaces

被引：0
|
作者：
Cícero Aquino
Halyson Baltazar
机构：
[1] Universidade Federal do Piauí,Departamento de Matemática
[2] Universidade Federal do Ceará - UFC,Departamento de Matemática
来源：
Bulletin of the Brazilian Mathematical Society, New Series | 2017年 / 48卷
关键词：
Semi-Riemannian manifolds; Semi-Riemannian product spaces; Riemannian immersions; Higher order mean curvatures; Vertical graphs; Primary 53C42; Secondary 53B30; 53C50; 53Z05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The purpose of this article is to study the uniqueness of complete hypersurfaces satisfying some pinching curvature condition. Here, we use the generalized maximum principle of Omori–Yau to obtain uniqueness results for complete spacelike hypersurfaces immersed in a Lorentzian product space. In addition, we obtain the analogue results for complete hypersurfaces immersed in a Riemannian product space.
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页码：697 / 715
页数：18
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