The Logarithmic Sobolev Inequality for a Submanifold in Manifolds with Nonnegative Sectional Curvature |
| |
Authors: | Chengyang YI · Yu ZHENG |
| |
Affiliation: | School of Mathematical Sciences, East China Normal University, Shanghai 200241, China. |
| |
Abstract: | The authors prove a sharp logarithmic Sobolev inequality which holds for compact submanifolds without boundary in Riemannian manifolds with nonnegative sectionalcurvature of arbitrary dimension and codimension. Like the Michael-Simon Sobolev inequality, this inequality includes a term involving the mean curvature. This extends arecent result of Brendle with Euclidean setting. |
| |
Keywords: | Logarithmic Sobolev inequality Nonnegative sectional curvature Submanifold |
|
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 |
|
点击此处可从《数学年刊B辑(英文版)》下载免费的PDF全文 |