No breathers theorem for noncompact harmonic Ricci flows with asymptotically nonnegative Ricci curvature

IF 1.3 3区数学 Q1 MATHEMATICS

Advances in Calculus of Variations Pub Date : 2023-07-25 DOI:10.1515/acv-2023-0003

Jiarui Chen, Qun Chen

引用次数: 0

Abstract

Abstract By using the monotonicity of the log Sobolev functionals, we prove a no breathers theorem for noncompact harmonic Ricci flows under conditions on infimum of log Sobolev functionals and curvatures. As an application, we obtain a no breathers theorem for noncompact harmonic Ricci flows with asymptotically nonnegative Ricci curvature.

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具有渐近非负Ricci曲率的非紧调和Ricci流的无呼吸定理

摘要利用log-Sobolev泛函的单调性，在log-Soblev泛函和曲率的下确界条件下，证明了非紧调和Ricci流的无呼吸定理。作为一个应用，我们得到了具有渐近非负Ricci曲率的非紧调和Ricci流的一个无呼吸定理。

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

Advances in Calculus of Variations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.90

自引率

5.90%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Calculus of Variations publishes high quality original research focusing on that part of calculus of variation and related applications which combines tools and methods from partial differential equations with geometrical techniques.