Finsler interpolation inequalities

被引：178
作者：
Ohta, Shin-ichi [1 ]
机构：
[1] Kyoto Univ, Dept Math, Fac Sci, Kyoto 6068502, Japan
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2009年 / 36卷 / 02期
关键词：
METRIC MEASURE-SPACES; POLAR FACTORIZATION; CURVATURE; CONVEXITY; GEOMETRY; MAPS;
D O I：
10.1007/s00526-009-0227-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We extend Cordero-Erausquin et al.'s Riemannian Borell-Brascamp-Lieb inequality to Finsler manifolds. Among applications, we establish the equivalence between Sturm, Lott and Villani's curvature-dimension condition and a certain lower Ricci curvature bound. We also prove a new volume comparison theorem for Finsler manifolds which is of independent interest.
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收藏
页码：211 / 249
页数：39
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