Contact properties of surfaces in r-3 with corank 1 singularities
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Data
2015-03-01
Autores
Martins, Luciana F. [UNESP]
Nuno-Ballesteros, Juan J.
Título da Revista
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Título de Volume
Editor
Tohoku University
Resumo
We study the geometry of surfaces in R-3 with corank 1 singularities. At a singular point we define the curvature parabola using the first and second fundamental forms of the surface, which contains all the local second order geometrical information about the surface. The curvature parabola is used to introduce the concepts of asymptotic directions and umbilic curvature, which are related to contact properties of the surface with planes and spheres.
Descrição
Palavras-chave
Singular surfaces, Umbilic curvature, Curvature parabola, Whitney umbrella, Cross-cap
Como citar
Tohoku Mathematical Journal. Sendai: Tohoku University, v. 67, n. 1, p. 105-124, 2015.