A Simple Method for the Optimal Transportation
Differential Geometry
2014-01-21 v2
Abstract
In this paper we will give a new proof of the monotonicity of Wasserstein distances of two diffusions under super Ricci flow. Our proof is based on the coupling method of B.Andrew and J.Clutterbuck. The same method can also be applied to the contractivity of normalized L-Wasserstein distance under backward Ricci flow.
Keywords
Cite
@article{arxiv.1211.2879,
title = {A Simple Method for the Optimal Transportation},
author = {Xian-Tao Huang},
journal= {arXiv preprint arXiv:1211.2879},
year = {2014}
}
Comments
15 pages, to appear in Communications in Analysis and Geometry