LINEAR WEINGARTEN SPACELIKE HYPERSURFACES IN LORENTZ SPACE FORMS WITH PRESCRIBED GAUSS MAP

被引：1

作者：

Chao, Xiaoli ^{[1
]}

Lv, Yusha ^{[2
]}

机构：

[1] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China

[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China

来源：

KODAI MATHEMATICAL JOURNAL | 2018年 / 41卷 / 01期

关键词：

Linear Weingarten; Spacelike hypersurface; Lorentz space form; Gauss map; CONSTANT MEAN-CURVATURE; SITTER SPACE; MINKOWSKI SPACE; RIEMANNIAN-MANIFOLDS; SCALAR CURVATURE; UNIT-SPHERE; GEOMETRY; VECTOR; IMAGE;

D O I：

10.2996/kmj/1521424826

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper address the geometry of complete linear Weingarten spacelike hypersurfaces in the Lorentz space forms. First, a divergence lemma concerning linear Weingarten spacelike hypersurfaces is obtained. Then, with the aid of this lemma, by supposing suitable restrictions on the Gauss map, we show that such hypersurfaces must be totally umbilical, which are some extension of the recent results of Aquino, Bezerra and Lima [7] and Aquino, Lima and Velasquez [11].

引用

页码：98 / 114

页数：17

共 42 条

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