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A note on Perelman's LYH inequality

Lei Ni
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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.

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Lei Ni. 2006-02-15. A note on Perelman's LYH inequality. https://arxiv.org/abs/math/0602337

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