Constrained matrix Li-Yau-Hamilton estimates on Kähler manifolds

2014/07/01 by Ren, Xin-An, Yao, Sha, Shen, Li-Ju +1 · 1 citation
#Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1407.0099

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.

Cited by

• Backward Harnack inequality and Hamilton estimates for heat type equations

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