Calculus of Variations and Geometric Measure Theory

N. Gigli

Optimal maps in non branching spaces with Ricci curvature bounded from below

created by gigli on 10 Sep 2011
modified on 02 Mar 2012

[BibTeX]

Accepted at GAFA

Inserted: 10 sep 2011
Last Updated: 2 mar 2012

Year: 2011

Abstract:

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.

Keywords: optimal maps, Ricci bounds


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