什么时候收缩梯度利玛窦孤子是紧凑的?

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
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引用次数: 0

摘要

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。
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When are shrinking gradient Ricci soliton compact

Suppose (M4,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 (M4,g,f) under some natural conditions.

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来源期刊
CiteScore
1.00
自引率
20.00%
发文量
81
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.
期刊最新文献
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