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Master's Dissertation
DOI
https://doi.org/10.11606/D.45.1996.tde-20210729-011804
Document
Author
Full name
Valerio Ramos Batista
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 1996
Supervisor
Title in Portuguese
Superficies minimas completas entre dois planos paralelos no 'R POT.3'
Keywords in Portuguese
Geometria Diferencial
Abstract in Portuguese
Este trabalho baseia-se no estudo das construcoes de exemplos de superficies minimas completas, com a caracteristica de possuirem uma de suas coordenadas limitada em 'R POT.3'. Estes exemplos variam desde a simples prova da existencia, onde emprega-se um importante resultado, que e o teorema de runge, ate a obtencao de tais superficies com propriedades especiais, ou seja, genero e tipo conforme previamente especificados. Varias ferramentas de grande poder sao introduzidas ao longo dos capitulos, tais como a representacao de weierstrass em 'R POT.N', as series de potencia com lacunas de hadamard, alguns resultados de topologia algebrica e de superficies de riemann. Por ultimo, sao tratadas extensoes para 'R POT.4' e 'R POT.N', n 'MAIOR OU IGUAL'4, e elaboracao de graficos
Title in English
not available
Abstract in English
not available
 
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Publishing Date
2021-07-29
 
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