Sobolev Inequality on Manifolds With Asymptotically Nonnegative Bakry-Émery Ricci Curvature

2022/07/18 by Dong, Yuxin, Lin, Hezi, Lu, Lingen
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2207.08468

Abstract

In this paper, inspired by [4, 9], we prove a Sobolev inequality on manifolds with density and asymptotically nonnegative Bakry-Émery Ricci curvature.

Related

• Sobolev inequalities on manifolds with nonnegative Bakry-Émery Ricci curvature
• Sobolev inequalities in manifolds with nonnegative curvature
• Hardy type inequalities on manifolds with nonnegative Ricci curvature
• The Log-Sobolev inequality for a submanifold in manifolds with asymptotic non-negative intermediate Ricci curvature
• Sobolev Inequalities In Manifolds With Asymptotically Nonnegative Curvature