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Master's Dissertation
DOI
https://doi.org/10.11606/D.45.1996.tde-20210729-011929
Document
Author
Full name
Marcos Monteiro Diniz
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 1996
Supervisor
Title in Portuguese
Variedades sub-riemannianas de contato de dimensao 3
Keywords in Portuguese
Geometria Diferencial
Abstract in Portuguese
Nesse trabalho, introduzimos a nocao de variedades sub-riemannianas de contato e estudamos o caso de dimensao 3. Os conceitos de fibrado de circulo, conexao e transporte paralelo sao dados e as equacoes de estrutura, definidas. Provamos a existencia e unicidade da forma de conexao sub-riemanniana e apresentamos as identidades de bianchi. Seguem entao alguns calculos relacionados aos exemplos classicos 'H POT.3', 'S POT.3' e 'Q POT.3'. O teorema de existencia e unicidade e apresentado em termos de conexao adaptada 'DELTA' em m e a relacao 'DELTA' e o transporte paralelo e rapidamente discutido. Finalmente, definimos variedades homogeneas e provamos o principal resultado - os teoremas de classificacao para variedades sub-riemannianas de contato, homogeneas, simplesmente conexas, de dimensao 3- fornecendo uma lista dos modelos
Title in English
not available
Abstract in English
not available
 
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Publishing Date
2021-07-29
 
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