A rigidity result of spacelike ξ-submanifolds in pseudo-Euclidean spaces

被引：2
|
作者：
Wang, Huijuan [1 ]
机构：
[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 511卷 / 01期
基金：
中国博士后科学基金;
关键词：
Rigidity theorem; Space-like xi -submanifold; Integral method; 2ND FUNDAMENTAL FORM; MEAN-CURVATURE FLOW; SELF-SHRINKERS; GAP THEOREM; SURFACES;
D O I：
10.1016/j.jmaa.2021.125976
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we study the space-like xi-submanifolds in pseudo-Euclidean space. We obtain the volume growth estimate of the space-like xi-submanifold. Then, we prove a rigidity theorem for m-dimensional space-like xi-submanifolds with ||xi|| < ?2/n in pseudo-Euclidean space R-n(m+n) under a minor growth condition on the mean curvature and the second fundamental form, which generalizes the results of Y. Luo and H. B. Qiu [23]. (C)& nbsp;2021 Elsevier Inc. All rights reserved.
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页数：13
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