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Type: Artigo de periódico
Author: Anan'In, S
Grossi, CH
Abstract: Poincare's Polyhedron Theorem is a widely known valuable tool in constructing manifolds endowed with a prescribed geometric structure. It is one of the few criteria providing discreteness of groups of isometries. This work contains a version of Poincare's Polyhedron Theorem that is applicable to constructing fibre bundles over surfaces and also suits geometries of non-constant curvature. Most conditions of the theorem, being as local as possible, are easy to verify in practice.
Subject: Poincare's Polyhedron Theorem
discrete groups
geometric structures
fibre bundles
Country: EUA
Editor: Cambridge Univ Press
Rights: embargo
Identifier DOI: 10.1017/S0013091509001783
Date Issue: 2011
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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