Globalization with probabilistic convexity
Differential Geometry
2015-06-24 v2 Metric Geometry
Abstract
We introduce a notion of probabilistic convexity and generalize some classical globalization theorems in Alexandrov geometry. A weighted Alexandrov's lemma is developed as a basic tool.
Cite
@article{arxiv.1310.6815,
title = {Globalization with probabilistic convexity},
author = {Nan Li},
journal= {arXiv preprint arXiv:1310.6815},
year = {2015}
}
Comments
in Journal of Topology and Analysis, 2015