On weakly Einstein submanifolds in space forms satisfying certain equalities

IF 0.6 4区数学 Q3 MATHEMATICS

Differential Geometry and its Applications Pub Date : 2024-11-13 DOI:10.1016/j.difgeo.2024.102208

Jihun Kim, JeongHyeong Park

引用次数: 0

Abstract

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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关于满足某些等式的空间形式中的弱爱因斯坦子曼形体

我们对空间形式中满足陈等式的弱爱因斯坦子曲面进行了分类。我们还给出了空间形式中满足半对称条件的弱爱因斯坦超曲面的分类。此外，我们还讨论了空间形式中法连接为平的弱爱因斯坦子曲面的一些特征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Differential Geometry and its Applications 数学-数学

CiteScore

1.00

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Differential Geometry and its Applications publishes original research papers and survey papers in differential geometry and in all interdisciplinary areas in mathematics which use differential geometric methods and investigate geometrical structures. The following main areas are covered: differential equations on manifolds, global analysis, Lie groups, local and global differential geometry, the calculus of variations on manifolds, topology of manifolds, and mathematical physics.