Functional inequalities on manifolds with non-convex boundary

被引：0

作者：

Lijuan Cheng ^{[1
,2
]}

Anton Thalmaier ^{[1
]}

James Thompson ^{[1
]}

机构：

[1] Mathematics Research Unit, University of Luxembourg

[2] Department of Applied Mathematics, Zhejiang University of Technology

来源：

ScienceChina(Mathematics) | 2018年 / 61卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Ricci curvature; gradient inequality; log-Sobolev inequality; geometric flow;

D O I：

暂无

中图分类号：

O186.1 [微分几何];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, new curvature conditions are introduced to establish functional inequalities including gradient estimates, Harnack inequalities and transportation-cost inequalities on manifolds with non-convex boundary.

引用

页码：1421 / 1436

页数：16

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