Lower N-weighted Ricci curvature bound with ε-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 | 2025年 / 17卷 / 01期

关键词：

METRIC-MEASURE-SPACES; NEEDLE DECOMPOSITIONS; POLAR FACTORIZATION; COMPARISON GEOMETRY; MANIFOLDS; INEQUALITY; DIMENSION; RIGIDITY;

D O I：

暂无

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 is an element of]-infinity, 1] boolean OR [n, +infinity] with epsilon-range introduced by Lu-Minguzzi-Ohta [Comparison theorems on weighted Finsler manifolds and space-times with epsilon-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.

引用

页码：105 / 130

页数：26

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