Alexandrov spaces with maximal number of extremal points
Metric Geometry
2015-06-03 v3 Differential Geometry
Abstract
We show that any n-dimensional nonnegatively curved Alexandrov space with the maximal possible number of extremal points is isometric to a quotient space of Euclidean n -space by an action of a crystallographic group. We describe all such actions.
Keywords
Cite
@article{arxiv.1111.7253,
title = {Alexandrov spaces with maximal number of extremal points},
author = {Nina Lebedeva},
journal= {arXiv preprint arXiv:1111.7253},
year = {2015}
}