Abstract
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.
基金项目
国家自然科学基金(12271163)
上海市科委项目(22DZ2229014)
Shanghai Key Laboratory of PMMP()
NETL
NSTL
万方数据