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

D\'ebora Lopes; Jorge Sotomayor; Ronaldo Garcia

arxiv: 1405.2537 · v1 · pith:GVPLSEQAnew · submitted 2014-05-11 · 🧮 math.DS · math.DG

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

D\'ebora Lopes , Jorge Sotomayor , Ronaldo Garcia This is my paper

classification 🧮 math.DS math.DG

keywords umbiliccurvatureellipsoidslinesmathbbsingularitiesdescribedpartially

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

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