A transport inequality on the sphere obtained by mass transport
Functional Analysis
2014-07-01 v1 Differential Geometry
Probability
Abstract
Using McCann's transportation map, we establish a transport inequality on compact manifolds with positive Ricci curvature. This inequality contains the sharp spectral comparison estimates.
Keywords
Cite
@article{arxiv.1406.7721,
title = {A transport inequality on the sphere obtained by mass transport},
author = {Dario Cordero-Erausquin},
journal= {arXiv preprint arXiv:1406.7721},
year = {2014}
}
Comments
published with minor changes in Pacific J. of Math