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Folheacoes riemanianas singulares
Silva, Roberto Correa Da
Biblioteca Digital de Teses e Dissertações da USP; Universidade de São Paulo; Instituto de Matemática e Estatística 1993-10-15
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Title:
Folheacoes riemanianas singulares
Author:
Silva, Roberto Correa Da
Supervisor:
Almeida, Francisco Rui Tavares de
Subjects:
Geometria Diferencial
Notes:
Tese (Doutorado)
Description:
Estudamos as folheacoes riemannianas singulares sobre as variedades compactas e conexas. Um modelo para tais folheacoes e o dado pelas orbitas de uma acao diferenciavel h x m 'SETA' m, onde h 'PERTENCE' i som (m) e um subgrupo de lie conexo em uma variedade conexa. Mais especificamente, conseguimos resultados locais e globais sobre folheacoes riemannianas singulares cujas unicas folhas singulares sao de dimensao zero. Este tipo de folheacao e interessante, pois inclui o caso de fluxos riemannianos singulares. Alem disso, classificamos os fluxos riemannianos singulares sobre as variedades de dimensao 3 e descrevemos os fluxos riemannianos singulares sobre as variedades de dimensao 4
DOI:
10.11606/T.45.1993.tde-20220712-114523
Publisher:
Biblioteca Digital de Teses e Dissertações da USP; Universidade de São Paulo; Instituto de Matemática e Estatística
Creation Date:
1993-10-15
Format:
Adobe PDF
Language:
Portuguese
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Teses e Dissertações USP
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