Integral of Distance Function on Compact Riemannian Manifolds

被引：0

作者：

Wan, Jianming ^{[1
]}

机构：

[1] Northwest Univ Xian, Sch Math, Xian 710127, Shaanxi, Peoples R China

来源：

PURE AND APPLIED MATHEMATICS QUARTERLY | 2016年 / 12卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Curvature; diameter; volume;

D O I：

10.4310/PAMQ.2016.v12.n2.a5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：293 / 300

页数：8

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