A note on Perelman's LYH inequality
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🧮 math.DG
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inequalityli-yau-hamiltonperelmantypeclaimedconjugatedevoteddifferential
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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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