Time-dependent Sobolev inequality along the Ricci flow
Differential Geometry
2008-12-19 v3 Analysis of PDEs
Abstract
In this article we get a time-dependent Sobolev inequality along the Ricci flow which generalizes the earlier results of Zhang, Ye, Hsu. As an application of the time-dependent Sobolev inequality, we also get a growth of the ratio of bob-collapsing along the Ricci flow.
Keywords
Cite
@article{arxiv.0812.1849,
title = {Time-dependent Sobolev inequality along the Ricci flow},
author = {Chengjie Yu},
journal= {arXiv preprint arXiv:0812.1849},
year = {2008}
}
Comments
Proof of Theorem 2.2 is added, a serious mistake in the proof of Theorem 2.3 is corrected