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
收藏
页码：293 / 300
页数：8
相关论文
共 50 条
  • [1] Subdifferentials of perturbed distance function in Riemannian manifolds
    Barani, A.
    [J]. OPTIMIZATION, 2018, 67 (11) : 1849 - 1868
  • [2] Convexity of the Distance Function to Convex Subsets of Riemannian Manifolds
    Khajehpour, Solmaz
    Pouryayevali, Mohamad R.
    [J]. JOURNAL OF CONVEX ANALYSIS, 2019, 26 (04) : 1321 - 1336
  • [3] Two dimensional compact simple Riemannian manifolds are boundary distance rigid
    Pestov, L
    Uhlmann, G
    [J]. ANNALS OF MATHEMATICS, 2005, 161 (02) : 1093 - 1110
  • [4] Fractional Sobolev Spaces with Kernel Function on Compact Riemannian Manifolds
    Aberqi, Ahmed
    Ouaziz, Abdesslam
    Repovs, Dusan D.
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2024, 21 (01)
  • [5] Fractional Sobolev Spaces with Kernel Function on Compact Riemannian Manifolds
    Ahmed Aberqi
    Abdesslam Ouaziz
    Dušan D. Repovš
    [J]. Mediterranean Journal of Mathematics, 2024, 21
  • [6] Consensus on compact Riemannian manifolds
    Chen, Sheng
    Zhao, Lindu
    Zhang, Weigong
    Shi, Peng
    [J]. INFORMATION SCIENCES, 2014, 268 : 220 - 230
  • [7] Limiting Subdifferential Calculus and Perturbed Distance Function in Riemannian Manifolds
    M. Farrokhiniya
    A. Barani
    [J]. Journal of Global Optimization, 2020, 77 : 661 - 685
  • [8] ON THE STRUCTURE OF COMPACT RIEMANNIAN MANIFOLDS
    KLINGENBERG, W
    [J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1958, 44 (06) : 586 - 588
  • [9] Subdifferentials of Distance Function Outside of Target Set in Riemannian Manifolds
    Malmir, Fatema
    Barani, Ali
    [J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2022, 48 (02) : 367 - 383
  • [10] Vorticity on the compact Riemannian manifolds
    Abbasvand, Mahsa
    Ghahremani-Gol, Hajar
    [J]. 2021 52ND ANNUAL IRANIAN MATHEMATICS CONFERENCE (AIMC), 2021, : 46 - 47
12345