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arXiv · 1407.0099

Constrained matrix Li-Yau-Hamilton estimates on Kähler manifolds

Xin-An Ren·Sha Yao·Li-Ju Shen·Guang-Ying Zhang
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Abstract

We derive an interpolation version of constrained matrix Li-Yau-Hamilton estimate on Kähler manifolds. As a result, we first get a constrained matrix Li-Yau-Hamilton estimate for heat equation on a Kähler manifold with fixed Kähler metric. Secondly, we get a corresponding estimate for forward conjugate heat equation on Kähler manifolds with time dependent Kähler metrics evolving by Kähler-Ricci flow.

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Xin-An Ren, Sha Yao, Li-Ju Shen, Guang-Ying Zhang. 2014-07-01. Constrained matrix Li-Yau-Hamilton estimates on Kähler manifolds. https://arxiv.org/abs/1407.0099

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