THE LOGARITHMIC SOBOLEV INEQUALITY FOR A SUBMANIFOLD IN MANIFOLDS WITH ASYMPTOTICALLY NONNEGATIVE SECTIONAL CURVATURE  

作　　者：东瑜昕 林和子 陆琳根 Yuxin DONG;Hezi LIN;Lingen LU(School of Mathematical Sciences,Fudan University,Shanghai,20043,China;School of Mathematics and Statistics&Laboratory of Analytical Mathematics and Applications(Ministry of Education)&FJKLMAA,Fujian Normal University,Fuzhou,350108,China)

机构地区：[1]School of Mathematical Sciences,Fudan University,Shanghai,20043,China [2]School of Mathematics and Statistics&Laboratory of Analytical Mathematics and Applications(Ministry of Education)&FJKLMAA,Fujian Normal University,Fuzhou,350108,China

出　　处：《Acta Mathematica Scientia》2024年第1期189-194,共6页数学物理学报（B辑英文版）

基　　金：Supported by the NSFC(11771087,12171091 and 11831005)。

摘　　要：In this note,we prove a logarithmic Sobolev inequality which holds for compact submanifolds without a boundary in manifolds with asymptotically nonnegative sectional curvature.Like the Michale-Simon Sobolev inequality,this inequality contains a term involving the mean curvature.

关 键 词：asymptotically nonnegative sectional curvature logarithmic Sobolev inequality ABP method 

分 类 号：O178[理学—数学]