Geodesics of the Triaxial ellipsoid

Geodesics of the Triaxial ellipsoid

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√Črico Melo Silva, Princeton University
Fine Hall 110

A classical topic in differential geometry is the study of geodesics on surfaces embedded in R^3. The study of geodesics on surfaces is, in general, quite difficult, owing to the nonlinear nature of the geodesic equation. This difficulty is already apparent even for simple surfaces, such as the case of the generic ellipsoid with three distinct axial lengths. We will discuss qualitative properties of these geodesics and discuss how to characterize them.