I will introduce the notion of Morse-even function on the sphere, and give a result on the number of critical points for such functions. I will then discuss a related multiplicity result for orthogonal geodesic chords in Riemannian manifolds with boundary that are diffeomorphic to Euclidean balls. This yields also a multiplicity result for brake orbits in a potential well.
Geometry-Topology Seminar
Thursday, March 3, 2016 - 4:30pm
Paolo Piccione
Univ. of Sao Paulo and Notre Dame Univ.