On weakly Einstein submanifolds in space forms satisfying certain equalities

被引：0
|
作者：
Kim, Jihun [1 ]
Park, JeongHyeong [1 ]
机构：
[1] Sungkyunkwan Univ, Dept Math, Suwon 16419, South Korea
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2024年 / 97卷
基金：
新加坡国家研究基金会;
关键词：
Weakly Einstein; Submanifold in a space form; Chen's equality; Flat normal bundle; Semisymmetric space; 2-Stein space; CONFORMALLY FLAT; CLASSIFICATION; HYPERSURFACES; CURVATURE; THEOREMS;
D O I：
10.1016/j.difgeo.2024.102208
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We classify weakly Einstein submanifolds in space forms that satisfy Chen's equality. We also give a classification of weakly Einstein hypersurfaces in space forms that satisfy the semisymmetric condition. In addition, we discuss some characterizations of weakly Einstein submanifolds in space forms whose normal connection is flat.
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页数：14
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