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On the patterns of principal curvature lines around a curve of umbilic points Anais da ABC (AABC)
Garcia,Ronaldo; Sotomayor,Jorge.
In this paper is studied the behavior of principal curvature lines near a curve of umbilic points of a smooth surface.
Tipo: Info:eu-repo/semantics/article Palavras-chave: Umbilic point; Principal curvature lines; Principal cycles.
Ano: 2005 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652005000100002
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A metric property of umbilic points Anais da ABC (AABC)
Garcia,Ronaldo; Sotomayor,Jorge.
In the space of cubic forms of surfaces, regarded as a G-space and endowed with a natural invariant metric, the ratio of umbilic points with a negative index to those with a positive index is evaluated in terms of the asymmetry of the metric, defined here. This work contains also a section with references pertinent to umbilic points and one with a discussion of a connection of the above defined ratio with that reported in 1977 by Berry and Hannay in the domain of Statistical Physics.
Tipo: Info:eu-repo/semantics/article Palavras-chave: Umbilic point; Principal curvature lines.
Ano: 2003 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652003000400001
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Umbilic and Tangential Singularities on Configurations of Principal Curvature Lines Anais da ABC (AABC)
GARCIA,RONALDO; SOTOMAYOR,JORGE.
In this paper is studied the relationship between quadratic tangencies of principal lines with the boundary of a surface and the Darbouxian umbilics of a smooth boundaryless surface which approximates it through the process of thickening and smoothing defined here.
Tipo: Info:eu-repo/semantics/article Palavras-chave: Tangential singularity; Umbilic point; Principal configuration.
Ano: 2002 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652002000100001
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