A note on Perelman's LYH inequality

Details A note on Perelman's LYH inequality A note on Perelman's LYH inequality

2006-02-15

arxiv.org/abs/math/0602337v1

Mathematics

Differential Geometry

Scientific paper

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.

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