Periodic Geodesics and Geodesic Nets on Riemannian Manifolds

Rotman 2019 03 05

Regina Rotman
University of Toronto; Member, School of Mathematics
March 5, 2019

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.