Chen inequalities on spacelike hypersurfaces of a GRW spacetime

被引：5

作者：

Poyraz, Nergiz ^{[1
]}

机构：

[1] Cukurova Univ, Fac Arts & Sci, Dept Math, TR-01330 Adana, Turkey

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2022年 / 81卷

关键词：

Spacelike hypersurface; Chen inequality; Chen-Ricci inequality; spacetimes; Generalized Robertson-Walker; LIGHT-LIKE HYPERSURFACES; SCALAR CURVATURE; SHAPE OPERATOR; MEAN-CURVATURE; SUBMANIFOLDS;

D O I：

10.1016/j.difgeo.2022.101863

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish Chen-Ricci inequality and Chen inequalities for spacelike hypersurfaces in GRW spacetimes. Considering these inequalities, we give some characterizations. Equality cases are also considered. We show that M is a totally geodesic or a totally umbilical in case of equalities. Moreover, we find some basic inequalities for shape operator of such hypersurfaces and obtain some inequalities for spacelike slices in GRW spacetimes.(c) 2022 Elsevier B.V. All rights reserved.

引用

页数：11

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