Nontrivial breathers for Ricci flow
arXiv:2107.14676
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.
Version 2 contains new remark pointing out that the same technique works for other geometric flows such as mean curvature flow