Lower N-weighted Ricci curvature bound with e-range and displacement convexity of entropies

被引：0
|
作者：
Kuwae, Kazuhiro [1 ]
Sakurai, Yohei [2 ]
机构：
[1] Fukuoka Univ, Dept Appl Math, Fukuoka 8140180, Japan
[2] Saitama Univ, Dept Math, 255 Shimo Okubo, Sakura Ku, Saitama, Saitama 3388570, Japan
来源：
JOURNAL OF TOPOLOGY AND ANALYSIS | 2023年
关键词：
METRIC-MEASURE-SPACES; NEEDLE DECOMPOSITIONS; POLAR FACTORIZATION; COMPARISON GEOMETRY; MANIFOLDS; INEQUALITY; DIMENSION; RIGIDITY;
D O I：
10.1142/S1793525323500309
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we provide a characterization of a lower N-weighted Ricci curvature bound for N ? ]-8, 1] ? [n, +8] with e-range introduced by Lu-Minguzzi-Ohta [Comparison theorems on weighted Finsler manifolds and space-times with e-range, Anal. Geom. Metr. Spaces 10(1) (2022) 1-30] in terms of a convexity of entropies over Wasserstein space. We further derive various interpolation inequalities and functional inequalities.
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页数：26
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