首页|THE LOGARITHMIC SOBOLEV INEQUALITY FOR A SUBMANIFOLD IN MANIFOLDS WITH ASYMPTOTICALLY NONNEGATIVE SECTIONAL CURVATURE
THE LOGARITHMIC SOBOLEV INEQUALITY FOR A SUBMANIFOLD IN MANIFOLDS WITH ASYMPTOTICALLY NONNEGATIVE SECTIONAL CURVATURE
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In this note,we prove a logarithmic Sobolev inequality which holds for compact submanifolds without a boundary in manifolds with asymptotically nonnegative sectional cur-vature.Like the Michale-Simon Sobolev inequality,this inequality contains a term involving the mean curvature.
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
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