Gradient Estimates for the CR Heat Equation on Closed Sasakian Manifolds

被引：0

作者：

Zhao, Biqiang ^{[1
]}

机构：

[1] Fudan Univ, Shanghai, Peoples R China

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2024年 / 34卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Gradient estimate; Sasakian manifold; Perelman-type entropy formula; CURVATURE-DIMENSION INEQUALITIES; HARNACK INEQUALITIES; YAU; BOUNDS; KERNEL;

D O I：

10.1007/s12220-024-01681-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain a CR version Li-Yau type gradient estimate for positive solutions of the CR heat equation on closed Sasakian manifolds. As its applications, we derive the Harnack inequality and upper bound estimate for the heat kernel. Finally, we obtain Perelman-type entropy formula for closed Sasakian manifolds.

引用

页数：17

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