When are shrinking gradient Ricci soliton compact

IF 0.6 4区数学 Q3 MATHEMATICS

Differential Geometry and its Applications Pub Date : 2024-01-02 DOI:10.1016/j.difgeo.2023.102102

Yuanyuan Qu, Guoqiang Wu

引用次数: 0

Abstract

Suppose $(M^{4}, g, f)$ is a complete shrinking gradient Ricci soliton. We give a sufficient condition for a soliton to be compact, generalizing previous result of Munteanu-Wang [17]. As an application, we give a classification of $(M^{4}, g, f)$ under some natural conditions.

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什么时候收缩梯度利玛窦孤子是紧凑的？

假设 (M4,g,f) 是一个完全收缩梯度利玛窦孤子。我们给出了一个孤子紧凑的充分条件，概括了 Munteanu-Wang [17] 以前的结果。作为应用，我们给出了 (M4,g,f) 在一些自然条件下的分类。

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.