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Master's Dissertation
DOI
10.11606/D.43.2017.tde-10102017-103546
Document
Author
Full name
Luiz Adolfo de Mello
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 1986
Supervisor
Title in Portuguese
TEORIAS DE GAUGE E GRAVITACAO: UMA ABORDAGEM EM UM FORMALISMO FIBRADO
Keywords in Portuguese
Teoria De Gauge
Abstract in Portuguese
A Tese é constituida de duas partes distintas . Uma parte matemática formal , completa e rigorosa - dos tópicos de Variedades Diferenciáveis, Cálculo Exterior, Geometria Riemanniana , Fibrado Principal (f.p.) com Conexões e Conexões Lineares, e uma segunda parte de aplicação desse Formalismo Matemático a Teorias FÍsicas , em particular o Eletromagnetismo de Maxwell (EM) , Teoria de gauge de Yang- Mills (Y- M) , a TRG, e a Teoria da Gravitação de Einstein-Cartan (E- C). Cada capítulo de aplicação é fechado e sua sequencia está determinada pelo aumento da complexidade matemática, isto é, cada capitulo possui uma estrutura matemática adicional.
Title in English
Gauge theories and gravity approach in a banding formalism
Keywords in English
Gauge theories
Abstract in English
The thesis is composed of two different parts. A formal complete and rigorous mathematical part - of topics of Differential Manifolds, Exterior calculus, Riemannian Geornetry, Principal Fiber Bundle (p . f.) with connections and Linear connections - and a second part of application of this mathematical Formalisrn concerning Physical Theories, particularly the Maxwell l's Eletrornagnetism (EM) , gauge theory of Yang- Mills (Y-M), the GRT , and the Gravitation Theory of Einstein - Cartan (E . C) . Each chapter of application is complete and its sequence is deterrnined by the increase of mathematical cornplexity, that is, each chapter h s an additional rnathematical structure .
 
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1986mello.pdf (87.66 Mbytes)
Publishing Date
2017-10-11
 
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