Optimal transport and Perelman's reduced volume
Differential Geometry
2009-01-09 v2
Abstract
We show that a certain entropy-like function is convex, under an optimal transport problem that is adapted to Ricci flow. We use this to reprove the monotonicity of Perelman's reduced volume.
Cite
@article{arxiv.0804.0343,
title = {Optimal transport and Perelman's reduced volume},
author = {John Lott},
journal= {arXiv preprint arXiv:0804.0343},
year = {2009}
}
Comments
final version