A note on flatness of non separable tangent cone
Metric Geometry
2019-06-28 v1
Abstract
Given a probability measure P on an Alexandrov space S with curvature bounded below, we prove that the support of the pushforward of P on the tangent cone at its (exponential) barycenter is a subset of a Hilbert space, without separability of the tangent cone.
Cite
@article{arxiv.1906.11536,
title = {A note on flatness of non separable tangent cone},
author = {Thibaut Le Gouic},
journal= {arXiv preprint arXiv:1906.11536},
year = {2019}
}