John Burke- Marist College
Closed Geodesics
In this talk, I will define regular surfaces, Riemannian metrics and
diffeomorphisms. I will present examples of these concepts using such
specific surfaces as:
the flat torus, the embedded torus, the sphere, and certain distorted spheres.
I will also define and discuss geodesics, especially closed geodesics, on
these surfaces. The talk will end with a brief historical discussion about
the existence of
closed geodesics on such surfaces as the topological sphere and topological
torus.
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