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	Provedor de dados 42 (4) Autor Garcia,Ronaldo (4) Sotomayor,Jorge (4) Llibre,Jaume (1) Palavra-chave Principal curvature lines (3) Umbilic point (2) Asymptotic lines (1) Canal surfaces (1) Clifford torus (1) Principal cycles (1) Recurrence (1) Riccati equation (1) Variational equation (1) Mais... Tipo do documento Info:eu-repo/semantics/article (4) Ano 2009 (1) 2006 (1) 2005 (1) 2003 (1) País Brazil (4) Idioma Inglês (4)		Ordenar por:  Relevância Autor Título Ano Registros recuperados: 4 Primeira ... 1 ... Última On the patterns of principal curvature lines around a curve of umbilic points 42 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 Tori embedded in S³ with dense asymptotic lines 42 Garcia,Ronaldo; Sotomayor,Jorge. In this paper are given examples of tori T² embedded in S³ with all their asymptotic lines dense. Tipo: Info:eu-repo/semantics/article Palavras-chave: Asymptotic lines; Recurrence; Clifford torus; Variational equation. Ano: 2009 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652009000100003 A metric property of umbilic points 42 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 Lines of principal curvature on canal surfaces in R³ 42 Garcia,Ronaldo; Llibre,Jaume; Sotomayor,Jorge. In this paper are determined the principal curvatures and principal curvature lines on canal surfaces which are the envelopes of families of spheres with variable radius and centers moving along a closed regular curve in R³. By means of a connection of the differential equations for these curvature lines and real Riccati equations, it is established that canal surfaces have at most two isolated periodic principal lines. Examples of canal surfaces with two simple and one double periodic principal lines are given. Tipo: Info:eu-repo/semantics/article Palavras-chave: Riccati equation; Principal curvature lines; Canal surfaces. Ano: 2006 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652006000300002 Registros recuperados: 4 Primeira ... 1 ... Última

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