POINCARE'S POLYHEDRON THEOREM FOR COCOMPACT GROUPS IN DIMENSION 4

Autor(es)

Anan'in, Sasha ^[1] ; Grossi, Carlos H. ^[1] ; Da Silva, Julio C. C. ^[2]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: MOSCOW MATHEMATICAL JOURNAL; v. 14, n. 4, p. 645-667, OCT-DEC 2014.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 12/07587-4 - Geometrias clássicas e construção de variedades hiperbólicas
• Beneficiário: Carlos Henrique Grossi Ferreira
• Modalidade de apoio: Auxílio à Pesquisa - Regular