球中的Ricci捏紧紧子流形

IF 0.7 3区数学 Q3 MATHEMATICS

Annals of Global Analysis and Geometry Pub Date : 2025-06-30 DOI:10.1007/s10455-025-10007-2

Marcos Dajczer, Theodoros Vlachos

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引用次数: 0

摘要

我们研究了球面上紧致子流形的拓扑结构，这些子流形满足里奇曲率的下界，仅依赖于浸入的平均曲率向量的长度。只是在特殊情况下，假设的有限强度允许关于子流形的外在几何的一些强有力的附加信息。

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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Ricci pinched compact submanifolds in spheres

We investigate the topology of the compact submanifolds in round spheres that satisfy a lower bound on the Ricci curvature depending only on the length of the mean curvature vector of the immersion. Just in special cases, the limited strength of the assumption allows some strong additional information on the extrinsic geometry of the submanifold.

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来源期刊

Annals of Global Analysis and Geometry 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal examines global problems of geometry and analysis as well as the interactions between these fields and their application to problems of theoretical physics. It contributes to an enlargement of the international exchange of research results in the field. The areas covered in Annals of Global Analysis and Geometry include: global analysis, differential geometry, complex manifolds and related results from complex analysis and algebraic geometry, Lie groups, Lie transformation groups and harmonic analysis, variational calculus, applications of differential geometry and global analysis to problems of theoretical physics.