English

Hardy type inequalities on closed manifolds via Ricci curvature

Differential Geometry 2021-07-01 v1

Abstract

The paper is devoted to Hardy type inequalities on closed manifolds. By means of various weighted Ricci curvatures, we establish several sharp Hardy type inequalities on closed weighted Riemannian manifolds. Our results complement in several aspects those obtained recently in the noncompact Riemannian setting.

Keywords

Cite

@article{arxiv.1910.02372,
  title  = {Hardy type inequalities on closed manifolds via Ricci curvature},
  author = {Canjun Meng and Han Wang and Wei Zhao},
  journal= {arXiv preprint arXiv:1910.02372},
  year   = {2021}
}