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research
Existence and uniqueness of optimal maps on Alexandrov spaces
Authors
Ambrosio
Ambrosio
+19 more
Ambrosio
Ambrosio
Bernard
Brenier
Burago
Burago
Cordero-Erausquin
Gangbo
Jérôme Bertrand
Lott
McCann
Monge
Otsu
Rachev
Smith
Sturm
Sturm
Sudakov
Villani
Publication date
1 January 2007
Publisher
Doi
Cite
View
on
arXiv
Abstract
The purpose of this paper is to show that in a finite dimensional metric space with Alexandrov's curvature bounded below, Monge's transport problem for the quadratic cost admits a unique solution
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HAL-INSA Toulouse
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oai:HAL:hal-00634572v1
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Crossref
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Scientific Publications of the University of Toulouse II Le Mirail
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Last time updated on 11/11/2016