首页|The Logarithmic Sobolev Inequality for a Submanifold in Manifolds with Nonnegative Sectional Curvature

The Logarithmic Sobolev Inequality for a Submanifold in Manifolds with Nonnegative Sectional Curvature

扫码查看
原文链接
  • NETL
  • NSTL
  • 万方数据
The authors prove a sharp logarithmic Sobolev inequality which holds for com-pact submanifolds without boundary in Riemannian manifolds with nonnegative sectional curvature of arbitrary dimension and codimension.Like the Michael-Simon Sobolev in-equality,this inequality includes a term involving the mean curvature.This extends a recent result of Brendle with Euclidean setting.

Logarithmic Sobolev inequalityNonnegative sectional curvatureSubmanifold

Chengyang YI、Yu ZHENG

展开 >

School of Mathematical Sciences,East China Normal University,Shanghai 200241,China

国家自然科学基金上海市科委项目Shanghai Key Laboratory of PMMP

1227116322DZ2229014

2024

10.1007/s11401-024-0024-6

数学年刊B辑(英文版)
国家教育部委托复旦大学主办

数学年刊B辑(英文版)

CSTPCD
影响因子：0.129
ISSN：0252-9599
年,卷(期)：2024.45(3)
  • 17