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arXiv · 2307.10920

Matrix Li-Yau-Hamilton Estimates under Kähler-Ricci Flow

Xiaolong Li·Hao-Yue Liu·Xin-An Ren
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Abstract

We prove matrix Li-Yau-Hamilton estimates for positive solutions to the heat equation and the backward conjugate heat equation, both coupled with the Kähler-Ricci flow. As an application, we obtain a monotonicity formula.

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Xiaolong Li, Hao-Yue Liu, Xin-An Ren. 2023-07-20. Matrix Li-Yau-Hamilton Estimates under Kähler-Ricci Flow. https://arxiv.org/abs/2307.10920

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