Highly curved orbit spaces
Differential Geometry
2018-09-11 v1 Metric Geometry
Representation Theory
Abstract
It is known that the infimum of the sectional curvatures (on the regular part) of orbit spaces of isometric actions on unit spheres in bounded above by . We show that the infimum is for "most" actions, and determine the cases in which it is bigger than .
Cite
@article{arxiv.1809.02865,
title = {Highly curved orbit spaces},
author = {Claudio Gorodski},
journal= {arXiv preprint arXiv:1809.02865},
year = {2018}
}
Comments
4 pages, 2 figures