English

A note on Perelman's LYH inequality

Differential Geometry 2007-05-23 v1

Abstract

We give a proof to the Li-Yau-Hamilton type inequality claimed by Perelman on the fundamental solution to the conjugate heat equation. The rest of the paper is devoted to improving the known differential inequalities of Li-Yau-Hamilton type via monotonicity formulae.

Keywords

Cite

@article{arxiv.math/0602337,
  title  = {A note on Perelman's LYH inequality},
  author = {Lei Ni},
  journal= {arXiv preprint arXiv:math/0602337},
  year   = {2007}
}