Locally Lipschitz contractibility of Alexandrov spaces and its applications
Metric Geometry
2016-01-20 v1 Differential Geometry
Abstract
We prove that any finite dimensional Alexandrov space with a lower curvature bound is locally Lipschitz contractible. As applications, we obtain a sufficient condition for solving the Plateau problem in an Alexandrov space considered by Mese and Zulkowski.
Keywords
Cite
@article{arxiv.1303.0655,
title = {Locally Lipschitz contractibility of Alexandrov spaces and its applications},
author = {Ayato Mitsuishi and Takao Yamaguchi},
journal= {arXiv preprint arXiv:1303.0655},
year = {2016}
}