Reflection groups in non-negative curvature
Differential Geometry
2017-01-03 v1 Geometric Topology
Metric Geometry
Abstract
We provide an equivariant description/classification of all complete (compact or not) non-negatively curved manifolds M together with a co-compact action by a reflection group W, and moreover, classify such W. In particular, we show that the building blocks consist of the classical constant curvature models and generalized open books with non negatively curved bundle pages, and derive a corresponding splitting theorem for the universal cover.
Cite
@article{arxiv.1403.5019,
title = {Reflection groups in non-negative curvature},
author = {Fuquan Fang and Karsten Grove},
journal= {arXiv preprint arXiv:1403.5019},
year = {2017}
}
Comments
20 pages