平均曲率流中的平均曲率爆破
微分几何
2010-05-25 v4
摘要
本文证明了紧致黎曼子流形平均曲率流的有限时间奇异性由平均曲率的爆破所表征。
引用
@article{arxiv.0902.4282,
title = {Mean curvature blow up in mean curvature flow},
author = {Andrew A. Cooper},
journal= {arXiv preprint arXiv:0902.4282},
year = {2010}
}
备注
This paper has been withdrawn by the author due to an error in the proof of Proposition 3.2, in particular the claim that bounded mean curvature implies uniform-in-time continuity of the metric