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

Débora Lopes; Jorge Sotomayor; Ronaldo Garcia

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arXiv · 1405.2537

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

Débora Lopes·Jorge Sotomayor·Ronaldo Garcia

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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.

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Débora Lopes, Jorge Sotomayor, Ronaldo Garcia. 2014-05-11. Umbilic Singularities and Lines of Curvature on Ellipsoids of ${\mathbb R}^4$. https://arxiv.org/abs/1405.2537

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