An approximation theorem for immersions with stable configurations of lines of principal curvature

Author:

Gutiérrez C.,Sotomayor J.

Publisher

Springer Berlin Heidelberg

Reference13 articles.

1. Bruce, J.W., Giblin, P.J.-Generic curves and surfaces, J. London Math. Soc. (2) Vol. 24, 1981.

2. Darboux, G.-Sur la forme des lignes de courbure dans le voisinage d'un ombilic, Note VII; Leçons sur la théorie générale des surfaces, Vol. IV. Gauthier-Villars, 1896.

3. Gutiérrez, C., Sotomayor, J.-Structurally stable configurations of lines of principal curvature. To appear in Astérisque.

4. Gutiérrez, C.-Structural stability for flows on the torus with a cross-cap. Trans. AMS, Vol. 241, 1978.

5. Looijenga, E.-Structural stability of smooth families of C∞ functions, Thesis, Univ. of Amsterdam, 1974.

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