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

被引：0

作者：

Aquino, Cicero ^{[1
]}

Baltazar, Halyson ^{[1
,2
]}

机构：

[1] Univ Fed Piaui, Dept Matemat, BR-64049550 Teresina, Piaui, Brazil

[2] Univ Fed Ceara, Dept Matemat, Campus Pici, BR-60455760 Fortaleza, CE, Brazil

来源：

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2017年 / 48卷 / 04期

关键词：

Semi-Riemannian manifolds; Semi-Riemannian product spaces; Riemannian immersions; Higher order mean curvatures; Vertical graphs; CONSTANT MEAN-CURVATURE; ROBERTSON-WALKER SPACETIME; WARPED PRODUCTS; MANIFOLDS; UNIQUENESS; RIGIDITY; GRAPHS;

D O I：

10.1007/s00574-017-0041-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：697 / 715

页数：19

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