Reflection groups in non-negative curvature

Fuquan Fang; Karsten Grove

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arXiv · 1403.5019

Reflection groups in non-negative curvature

Fuquan Fang·Karsten Grove

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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.

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BibTeX RIS

Fuquan Fang, Karsten Grove. 2014-03-20. Reflection groups in non-negative curvature. https://arxiv.org/abs/1403.5019

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