梯度Ricci孤子何时有一端？

IF 0.6 3区数学 Q3 MATHEMATICS

Annals of Global Analysis and Geometry Pub Date : 2022-08-16 DOI:10.1007/s10455-022-09868-8

Yuanyuan Qu, Guoqiang Wu

引用次数: 1

摘要

假设\（（M^n，g，f）\）是一个完全收缩梯度Ricci孤子。假设\（|Ric|<；\frac｛n-2｝｛2\sqrt｛n｝｝），其中\（n\ge 3\），则它只有一端。类似的结果适用于扩展梯度Ricci孤子。

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When does gradient Ricci soliton have one end?

Suppose \((M^n, g, f)\) is a complete shrinking gradient Ricci soliton. Assume that \(|Ric|<\frac{n-2}{2\sqrt{n}}\), where \(n \ge 3\), then it has only one end. Similar results hold for the expanding gradient Ricci soliton.

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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.