Reflection groups in non-negative curvature

Autor:	Fang, Fuquan, Grove, Karsten
Rok vydání:	2014
Předmět:	Mathematics - Differential Geometry Mathematics - Geometric Topology Mathematics - Metric Geometry
Zdroj:	Journal of Differential Geometry 102 (2016), 179-205
Druh dokumentu:	Working Paper
Popis:	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. Comment: 20 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1403.5019 Zobrazit plný text záznamu View this record from Arxiv