The entropy formula for linear heat equation
微分几何
2007-05-23 v2
摘要
We derive the entropy formula for the linear heat equaiton on complete Riemannian manifolds with nonnegative Ricci curvature. As applications, we study the relation between the value of entropy and the volume of balls of various scales. The results are simpler version, without Ricci flow, of Perelman's recent results on volume non-collapsing.
引用
@article{arxiv.math/0306147,
title = {The entropy formula for linear heat equation},
author = {Lei Ni},
journal= {arXiv preprint arXiv:math/0306147},
year = {2007}
}
备注
to appear in Jour. Geom. Anal