On tangent cones in Wasserstein space
Differential Geometry
2017-01-11 v3
Abstract
If M is a smooth compact Riemannian manifold, let P(M) denote the Wasserstein space of probability measures on M. If S is an embedded submanifold of M, and is an absolutely continuous measure on S, then we compute the tangent cone of P(M) at .
Keywords
Cite
@article{arxiv.1407.7245,
title = {On tangent cones in Wasserstein space},
author = {John Lott},
journal= {arXiv preprint arXiv:1407.7245},
year = {2017}
}
Comments
final version, 11 pages. Part of an earlier version is split off to arXiv:1701.02297