A note on Perelman's no shrinking breather theorem
Differential Geometry
2018-04-27 v2
Abstract
As an application of his entropy formula, Perelman proved that every compact shrinking breather is a shrinking gradient Ricci soliton. We give a proof for the complete noncompact case by using Perelman's -geometry. Our proof follows the argument in Lu and Zheng of constructing an ancient solution, and removes a technical assumption made by them.
Cite
@article{arxiv.1803.03660,
title = {A note on Perelman's no shrinking breather theorem},
author = {Yongjia Zhang},
journal= {arXiv preprint arXiv:1803.03660},
year = {2018}
}