Existence and uniqueness of optimal maps on Alexandrov spaces
classification
🧮 math.DG
math.AP
keywords
alexandrovadmitsbelowboundedcostcurvaturedimensionalexistence
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.