Talk
Closed geodesics and orthogonal geodesic chords without self-intersections
- Hans-Bert Rademacher (Leipzig University)
Abstract
We show that for a generic Riemannian metric on a compact manifold of dimension at least three all closed geodesics do not have self-intersections. Similar results are possible for geodesic loops and orthogonal geodesic chords. An orthogonal geodesic chord on a manifold with boundary is a geodesic segment connecting points on the boundary and hitting the boundary orthogonally.