Existence of optimal transport maps in very strict $CD(K,\infty)$ -spaces
Metric Geometry
2017-12-12 v1 Differential Geometry
Abstract
We introduce a more restrictive version of the strict -condition, the so-called very strict -condition, and show the existence of optimal maps in very strict -spaces despite the possible lack of uniqueness of optimal plans.
Cite
@article{arxiv.1712.03670,
title = {Existence of optimal transport maps in very strict $CD(K,\infty)$ -spaces},
author = {Timo Schultz},
journal= {arXiv preprint arXiv:1712.03670},
year = {2017}
}
Comments
12 pages