Abstract
This is a survey article on recent progress (in [Oh3], [OS]) of the theory of weighted Ricci curvature in Finsler geometry. Optimal transport theory plays an impressive role as is developed in the Riemannian case by Lott, Sturm and Villani.
Information
Published: 1 January 2010
First available in Project Euclid: 24 November 2018
zbMATH: 1205.53080
MathSciNet: MR2648268
Digital Object Identifier: 10.2969/aspm/05710323
Subjects:
Primary:
49Q20
,
53C60
,
58J35
Keywords:
Comparison theorem
,
Finsler geometry
,
Optimal transport
,
Ricci curvature
Rights: Copyright © 2010 Mathematical Society of Japan
