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most citedSobolev Inequalities In Manifolds With Asymptotically Nonnegative Curvature

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math.DG2022

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

Yuxin Dong, Hezi Lin, Lingen Lu

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

math.DG2022★ 1 cited

Sobolev Inequalities In Manifolds With Asymptotically Nonnegative Curvature

Yuxin Dong, Hezi Lin, Lingen Lu

Using the ABP-method as in a recent work by Brendle, we establish some sharp Sobolev and isoperimetric inequalities for compact domains and submanifolds in a complete Riemannian ma…