POINCARE'S POLYHEDRON THEOREM FOR COCOMPACT GROUPS IN DIMENSION 4

Anan'in, Sasha; Grossi, Carlos H.; Da Silva, Julio C. C.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

POINCARE'S POLYHEDRON THEOREM FOR COCOMPACT GROUPS IN DIMENSION 4

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Author(s):	Anan'in, Sasha ^[1] ; Grossi, Carlos H. ^[1] ; Da Silva, Julio C. C. ^[2] Total Authors: 3
Affiliation:	^[1] Univ Sao Paulo, ICMC, Dept Matemat, BR-13560970 Sao Carlos, SP - Brazil ^[2] Univ Estadual Campinas, IMECC, Dept Matemat, BR-13083970 Campinas, SP - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	MOSCOW MATHEMATICAL JOURNAL; v. 14, n. 4, p. 645-667, OCT-DEC 2014.
Web of Science Citations:	0
Abstract
We prove a version of Poincare's polyhedron theorem whose requirements are as local as possible. New techniques such as the use of discrete groupoids of isometrics are introduced. The theorem may have a wide range of applications and can be generalized to the case of higher dimension and other geometric structures. It is planned as a first step in a program of constructing compact C-surfaces of general type satisfying c(1)(2) = 3c(2). (AU)

FAPESP's process:	12/07587-4 - Classic geometries and the construction of hyperbolic manifolds
Grantee:	Carlos Henrique Grossi Ferreira
Support Opportunities:	Regular Research Grants

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