Improved Beckner-Sobolev inequalities on K\"ahler manifolds
Differential Geometry
2019-05-17 v1 Analysis of PDEs
Abstract
We prove new Beckner-Sobolev type inequalities on compact K\"{a}hler manifolds with positive Ricci curvature. As an application, we obtain a diameter upper bound that improves the Bonnet-Myers bound.
Keywords
Cite
@article{arxiv.1905.06781,
title = {Improved Beckner-Sobolev inequalities on K\"ahler manifolds},
author = {Fabrice Baudoin and Ovidiu Munteanu},
journal= {arXiv preprint arXiv:1905.06781},
year = {2019}
}