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Coxeter Decompositions of Hyperbolic Tetrahedra

โœ Scribed by A. A. Felikson


Publisher
Springer US
Year
2005
Tongue
English
Weight
151 KB
Volume
128
Category
Article
ISSN
1573-8795

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Let P be a polygon on hyperbolic plane H 2 . A Coxeter decomposition of a polygon P is a nontrivial decomposition of P into finitely many Coxeter polygons F i , such that any two polygons F 1 and F 2 having a common side are symmetric with respect to this common side. In this paper we classify the C

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Assume that the nerve K of a hyperbolic Coxeter group ฮ“ is n-connected and the complement K \ โˆ† to every simplex is n-connected. Then the boundary โˆ‚ฮ“ is n-connected and locally nconnected.

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