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Master's Dissertation
DOI
https://doi.org/10.11606/D.55.2004.tde-18052004-174739
Document
Author
Full name
Rodrigo Martins
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2004
Supervisor
Committee
Ruas, Maria Aparecida Soares (President)
Garcia, Ronaldo Alves
Saia, Marcelo Jose
Title in Portuguese
Singularidades das Superfícies Regradas em R3
Keywords in Portuguese
singularidade estável
singularidades
singularidades genéricas
superfícies desenvolvíveis
superfícies regradas
superfícies tangentes
Abstract in Portuguese
Estudaremos as singularidades genéricas de superfécies regradas em R3. O objetivo do trabalho é mostrar que as singularidades genéricas que ocorrem no conjunto das superfícies regradas são as mesmas que ocorrem no conjunto das aplicações diferenciáveis de R2 em R3, enquanto que as singularidades genéricas das superfícies desenvolvíveis, que formam um subconjunto das superfícies regradas, são mais degeneradas.
Title in English
Singularities of Ruled Surface in R3
Keywords in English
developable surface
generic singularities
ruled surface
singularities
tangent surface
Abstract in English
We study generic singularities of ruled surfaces in R3. In this work we show that generic singularities appearing in the set of ruled surfaces are the same that occur in the set of map germs from R2 to R3, while the generic singularities of developable surfaces are more degenerate.
 
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diss.pdf (731.84 Kbytes)
Publishing Date
2004-07-29
 
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