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.

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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.