Existence and uniqueness of optimal maps on Alexandrov spaces
Differential Geometry
2007-05-23 v1 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.0705.0437,
title = {Existence and uniqueness of optimal maps on Alexandrov spaces},
author = {Jerome Bertrand},
journal= {arXiv preprint arXiv:0705.0437},
year = {2007}
}