%0 Journal Article
%T Optimal transport and Perelman's reduced volume
%A John Lott
%J Mathematics
%D 2008
%I arXiv
%X 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.
%U http://arxiv.org/abs/0804.0343v2