Ricci Tensor on RCD*(K, N) Spaces

被引:0
|
作者
Han, Bang-Xian [1 ]
机构
[1] Univ Bonn, Hausdorff Ctr Math, Bonn, Germany
基金
欧盟地平线“2020”;
关键词
Curvature-dimension condition; Bakry-Emery theory; Bochner inequality; Ricci tensor; Metric measure space; METRIC MEASURE-SPACES; CURVATURE-DIMENSION CONDITION;
D O I
10.1007/s12220-017-9863-7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We obtain an improved Bochner inequality based on the curvaturedimension condition RCD*(K, N) and propose a definition of N-dimensional Ricci tensor on metric measure spaces.
引用
收藏
页码:1295 / 1314
页数:20
相关论文
共 50 条
  • [1] Fine Representation of Hessian of Convex Functions and Ricci Tensor on RCD Spaces
    Brena, Camillo
    Gigli, Nicola
    POTENTIAL ANALYSIS, 2024,
  • [2] Radial processes on RCD*(K, N) spaces
    Kuwada, Kazumasa
    Kuwae, Kazuhrio
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2019, 126 : 72 - 108
  • [3] On the isometry group of RCD*(K, N)-spaces
    Guijarro, Luis
    Santos-Rodriguez, Jaime
    MANUSCRIPTA MATHEMATICA, 2019, 158 (3-4) : 441 - 461
  • [4] Local spectral convergence in RCD*(K, N) spaces
    Ambrosio, Luigi
    Honda, Shouhei
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2018, 177 : 1 - 23
  • [5] Characterization of Low Dimensional RCD*(K, N) Spaces
    Kitabeppu, Yu
    Lakzian, Sajjad
    ANALYSIS AND GEOMETRY IN METRIC SPACES, 2016, 4 (01): : 187 - 215
  • [6] Collapsed Ricci Limit Spaces as Non-Collapsed RCD Spaces
    Honda, Shouhei
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2020, 16
  • [7] On the topology and the boundary of N-dimensional RCD (K, N) spaces
    Kapovitch, Vitali
    Mondino, Andrea
    GEOMETRY & TOPOLOGY, 2021, 25 (01) : 445 - 495
  • [8] Obstacle Problems on RCD(K, N) Metric Measure Spaces
    Lin, Sitan
    ACTA MATHEMATICA SCIENTIA, 2023, 43 (05) : 1925 - 1944
  • [9] RECTIFIABILITY OF RCD(K, N) SPACES VIA δ-SPLITTING MAPS
    Brue, Elia
    Pasqualetto, Enrico
    Semola, Daniele
    ANNALES FENNICI MATHEMATICI, 2021, 46 (01): : 465 - 482
  • [10] Obstacle Problems on RCD(K, N) Metric Measure Spaces
    Sitan Lin
    Acta Mathematica Scientia, 2023, 43 : 1925 - 1944