Calculus of Variations and Geometric Measure Theory
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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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