OPTIMAL MAPS IN NON BRANCHING SPACES WITH RICCI CURVATURE BOUNDED FROM BELOW

被引：0

作者：

Nicola Gigli

机构：

[1] Université de Nice,

来源：

Geometric and Functional Analysis | 2012年 / 22卷

关键词：

Optimal Transport; Wiener Space; Convexity Inequality; Entropy Functional; Displacement Convexity;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove existence of optimal maps in non branching spaces with Ricci curvature bounded from below. The approach we adopt makes no use of Kantorovich potentials.

引用

页码：990 / 999

页数：9

共 50 条

[1] OPTIMAL MAPS IN NON BRANCHING SPACES WITH RICCI CURVATURE BOUNDED FROM BELOW
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[2] Optimal Maps and Exponentiation on Finite-Dimensional Spaces with Ricci Curvature Bounded from Below
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[3] Optimal Maps and Exponentiation on Finite-Dimensional Spaces with Ricci Curvature Bounded from Below
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[4] NON-COLLAPSED SPACES WITH RICCI CURVATURE BOUNDED FROM BELOW
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[5] OPTIMAL MAPS AND LOCAL-TO-GLOBAL PROPERTY IN NEGATIVE DIMENSIONAL SPACES WITH RICCI CURVATURE BOUNDED FROM BELOW
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[7] METRIC MEASURE SPACES WITH RIEMANNIAN RICCI CURVATURE BOUNDED FROM BELOW
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