Periodic Geodesics and Geodesic Nets on Riemannian Manifolds

Workshop on Geometric Functionals: Analysis and Applications
Topic:Periodic Geodesics and Geodesic Nets on Riemannian Manifolds
Speaker:Regina Rotman
Affiliation:University of Toronto; Member, School of Mathematics
Date:Tuesday, March 5
Time/Room:2:30pm - 3:30pm/Simonyi Hall 101
Video Link:https://video.ias.edu/ws/2019/0305-ReginaRotman

Abstract: I will talk about periodic geodesics, geodesic loops, and geodesic nets on Riemannian manifolds. More specifically, I will discuss some curvature-free upper bounds for compact manifolds and the existence results for non-compact manifolds. In particular, geodesic nets turn out to be useful for proving results about geodesic loops and periodic geodesics.