Sobolev Inequalities In Manifolds With Asymptotically Nonnegative Curvature
Differential Geometry
2022-06-17 v2
Abstract
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 manifold with asymptotically nonnegative curvature. These inequalities generalize those given by Brendle in the case of complete Riemannian manifolds with nonnegative curvature.
Keywords
Cite
@article{arxiv.2203.14624,
title = {Sobolev Inequalities In Manifolds With Asymptotically Nonnegative Curvature},
author = {Yuxin Dong and Hezi Lin and Lingen Lu},
journal= {arXiv preprint arXiv:2203.14624},
year = {2022}
}
Comments
In this version, we correct some typos and update the references