Communications in Analysis and Geometry
Volume 14 (2006)
A Note on Perelman's Li-Yau-Hamilton Inequality
Pages: 883 – 905
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.