沿 Ricci 流的 Log 熵泛函
微分几何
2011-11-10 v3
摘要
在本文中，我们引入了 log 熵泛函并建立了其沿 Ricci 流的单调性。其推论之一是对数 Sobolev 常数沿 Ricci 流的单调性。
引用
@article{arxiv.0708.2008,
title = {The Log Entropy Functional Along the Ricci Flow},
author = {Rugang Ye},
journal= {arXiv preprint arXiv:0708.2008},
year = {2011}
}
评论
A typo in the monotonicity inequality for the log entropy functional is corrected. Namely the factor 1/(16 \omega) should be (4 \omega)/n. (From the given computations it is obvious that this number should be (4\omega)/n.)