Geodesically complete spaces with an upper curvature bound
Differential Geometry
2018-07-19 v3 Metric Geometry
Abstract
We study geometric and topological properties of locally compact, geodesically complete spaces with an upper curvature bound. We control the size of singular subsets, discuss homotopical and measure-theoretic stratifications and regularity of the metric structure on a large part.
Cite
@article{arxiv.1804.05189,
title = {Geodesically complete spaces with an upper curvature bound},
author = {Alexander Lytchak and Koichi Nagano},
journal= {arXiv preprint arXiv:1804.05189},
year = {2018}
}
Comments
Bibliography enlarged, formulations improved, minor corrections