Umbilic Singularities and Lines of Curvature on Ellipsoids of ${\mathbb{R}}^4$

Abstract

The topological structure of the lines of principal curvature, the umbilic and partially umbilic singularities of all tridimensional ellipsoids of ${\mathbb{R}}^4$ is described.

arXiv comment31 pages and 12 figures

References in corpus (1)

• Géométrie de contact: de la dimension trois vers les dimensions supérieures