Dissertação

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dissertacao.gregorio.pdf
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                    Universidade Federal de Alagoas
Programa de Pós-Graduação em Matemática

DISSERTAÇÃO DE MESTRADO

Rio São Francisco

O Teorema de Alexandrov

MATEMÁTICA

A ciência
do infinito

Gregório Manoel da Silva Neto

Maceió
Agosto de 2009

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Catalogação na fonte
Universidade Federal de Alagoas
Biblioteca Central
Divisão de Tratamento Técnico
Bibliotecária Responsável: Helena Cristina Pimentel do Vale

S586t

Silva Neto, Gregório Manoel da.
O teorema de Alexandrov / Gregório Manoel da Silva, 2009.
71 f.
Orientador: Hilário Alencar da Silva.
Dissertação (mestrado em Matemática) – Universidade Federal de Alagoas.
Instituto de Matemática. Maceió, 2009.
Bibliografia: f. 68-69.
Índice: f: 70-71.
1. Geometria diferencial. 2. Laplaciano. 3. Hipersuperfícies. 4. Curvatura
média. 5. Curvatura de Ricci. 6. Alexandrov, teorema de. 7. Obata, teorema de.
8. Variedade riemanniana compacta. I. Título.
CDU: 514.764.27

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