Optimal transport and Ricci curvature in Finsler geometry

Optimal transport and Ricci curvature in Finsler geometry
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DOI：
10.2969/aspm/05710323
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发表时间：
2010
期刊：
--
影响因子：
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通讯作者：
Shin-ichi Ohta
Shin-ichi Ohta
中科院分区：
其他
文献类型：
--
作者：
Shin-ichi Ohta

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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.