Talk
Closed Geodesics
Seminargebäude SG 3-12
MPI for Mathematics in the Sciences / University of Leipzig (Leipzig)
Abstract
The existence of closed geodesics on compact Riemannian manifolds can be shown using Morse theory on the free loop space. On one hand there are results about the existence of infinitely many closed geodesics. On the other hand one can give existence results for short closed geodesics in case of positive curvature with length estimates.
Date and time info
Tuesday, 9:15 - 10:45
Keywords
Riemannian manifold, Morse theory, free loop space, curvature
Prerequisites
differential geometry, algebraic topology
