# A note on Perelman's LYH inequality

@article{Ni2006ANO, title={A note on Perelman's LYH inequality}, author={Lei Ni}, journal={arXiv: Differential Geometry}, year={2006} }

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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