A no expanding breather theorem for noncompact Ricci flows

Liang Cheng; Yongjia Zhang

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arXiv · 2104.02834

A no expanding breather theorem for noncompact Ricci flows

Liang Cheng·Yongjia Zhang

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Abstract

In this note we show that, under certain curvature positivity conditions (the weak $\operatorname{PIC}-2$ condition or the nonnegative bisectional curvature condition), a complete and noncompact expanding breather of the Ricci flow is also an expanding gradient Ricci soliton. This is the first no expanding breather theorem in the noncompact category.

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BibTeX RIS

Liang Cheng, Yongjia Zhang. 2021-04-07. A no expanding breather theorem for noncompact Ricci flows. https://arxiv.org/abs/2104.02834

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