Closed geodesics on reversible Finsler 2-spheres

Abstract: In this talk, I will show that two celebrated theorems on closed geodesics of Riemannian 2-spheres still hold for the larger class of reversible Finsler 2-spheres: Lusternik-Schnirelmann's theorem asserting the existence of three simple closed geodesics, and Bangert-Franks-Hingston's theorem asserting the existence of infinitely many closed geodesics. I will sketch the proofs of these statements, employing in particular the Finsler generalization of Grayson's curve shortening flow developed by Angenent-Oaks. This is joint work with Guido De Philippis, Michele Marini, and Stefan Suhr.

differential geometrydynamical systemsgeometric topologysymplectic geometry

Audience: researchers in the topic

Geometry and Dynamics seminar

Series comments: On the week of the seminar, an announcement with the Zoom link is mailed to the seminar mailing list. To receive these e-mails, please sign up by writing to Lev Buhovsky (http://www.math.tau.ac.il/~levbuh/).