A no expanding breather theorem for noncompact Ricci flows
Differential Geometry
2021-04-08 v1
Abstract
In this note we show that, under certain curvature positivity conditions (the weak 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.
Keywords
Cite
@article{arxiv.2104.02834,
title = {A no expanding breather theorem for noncompact Ricci flows},
author = {Liang Cheng and Yongjia Zhang},
journal= {arXiv preprint arXiv:2104.02834},
year = {2021}
}
Comments
11 pages