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Master's Dissertation
DOI
10.11606/D.45.2018.tde-05072018-111337
Document
Author
Full name
Gustavo Ignácio Duarte
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2018
Supervisor
Committee
Struchiner, Ivan (President)
Grama, Lino Anderson da Silva
Pinzón, Maria Amelia Salazar
Title in Portuguese
Integrabilidade de G-Estruturas
Keywords in Portuguese
Cohomologia de Spencer
Conexões
Curvatura
Equivalência de G-estruturas
Fibrados associados
Fibrados principais
Fibrados vetoriais
G-estruturas
Integrabilidade
Torção
Transporte paralelo
Abstract in Portuguese
Esta dissertação tem como objetivo discutir sob quais condições uma G- estrutura é integrável. Primeiro apresentam-se fibrados principais, vetoriais e outras estruturas a elas associados como torção, espaços verticais, espaços horizontais e conexões. Depois apresentam-se a definição de G-estrutura, de integrabilidade de G-estruturas, com exemplos e as respectivas versões de integrabilidade e equivalência de G-estruturas. Finalmente, são descritas condições mais gerais que garantem a integrabilidade de G-estruturas.
Title in English
Integrability of G-structures
Keywords in English
Associated bundles
Connections
curvature
Equivalence of G-structures
G-structures
Integrability
Parallel transport
rincipal bundles
Spencer cohomology
Torsion
Vector bundles
Abstract in English
This dissertation aims to discuss what are the conditions for the inte- grability of a G-structure. We begin presenting principal bundles, vectoer bundles, associated bundles and other structures related to them like torsion, vertical spaces, horizontal spaces and connections. After this, we present the definition of G-structure, integrability os G-structures with examples ans respectives versions of integrabilities and the equivalence of G-estructures. Finally, we describe more general conditions that ensure the integrability of G-structures.
 
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dissertacao.pdf (708.45 Kbytes)
Publishing Date
2018-11-23
 
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