Nontrivial breathers for Ricci flow
Differential Geometry
2021-09-17 v2
Abstract
Perelman has proved that there cannot exist a nontrivial breather for Ricci flow on a closed manifold. Here we construct nontrivial expanding breathers for Ricci flow in all dimensions when the underlying manifold is allowed to be noncompact.
Keywords
Cite
@article{arxiv.2107.14676,
title = {Nontrivial breathers for Ricci flow},
author = {Peter M. Topping},
journal= {arXiv preprint arXiv:2107.14676},
year = {2021}
}
Comments
Version 2 contains new remark pointing out that the same technique works for other geometric flows such as mean curvature flow