Integral of distance function on compact Riemannian manifolds
Differential Geometry
2019-02-15 v1
Abstract
In this paper we show that, under some curvature assumptions the integral of distance function on a compact Riemannian manifold is bounded below by the product of diameter, volume and a constant only depending on the dimension.
Keywords
Cite
@article{arxiv.1902.05317,
title = {Integral of distance function on compact Riemannian manifolds},
author = {Jianming Wan},
journal= {arXiv preprint arXiv:1902.05317},
year = {2019}
}