Doctoral Thesis
DOI
https://doi.org/10.11606/T.45.2016.tde-25012016-153923
Document
Author
Full name
Flausino Lucas Neves Spíndola
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2015
Supervisor
Committee
Tello, Jorge Manuel Sotomayor (President)
Asperti, Antonio Carlos
Garcia, Ronaldo Alves
Mello, Luis Fernando de Osório
Silva, Paulo Ricardo da
Asperti, Antonio Carlos
Garcia, Ronaldo Alves
Mello, Luis Fernando de Osório
Silva, Paulo Ricardo da
Title in Portuguese
Bifurcação de pontos axiumbílicos e ciclos axiais de superfícies imersas em R4
Keywords in Portuguese
Axiumbílicos
Bifurcação
Ciclos axiais
Configuração axial
Linhas axiais
Bifurcação
Ciclos axiais
Configuração axial
Linhas axiais
Abstract in Portuguese
O objetivo deste trabalho é descrever a estrutura das linhas axiais principais e médias de imersões de superfícies em R4 na vizinhança de pontos axiumbílicos. Pontos axiumbílicos são aqueles nos quais a elipse de curvatura se degenera em um círculo. Estudamos a perturbação dos ciclos axiais principais, e obtemos resultados sobre a genericidade dos ciclos axiais principais hiperbólicos e semi-hiperbólicos.
Title in English
Bifurcation of axiumbilic points and axial cycles of surfaces immersed into R4
Keywords in English
Axial configurations
Axial cycles
Axial lines
Axiumbilic points
Bifurcation
Axial cycles
Axial lines
Axiumbilic points
Bifurcation
Abstract in English
The aim of this work is to describe the structure of principal and mean axial lines of immersions of surfaces into R4, close to axiumbilic points. Axiumbilic points are those which the ellipse of curvature denegerate in a circle. We study the perturbation of principal axial cycles, and we obtain results about genericity of hyperbolic and semi-hyperbolic principal axial cycles.
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Publishing Date
2016-02-02
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