Morse theory and closed geodesics

Results about existence and stability of closed geodesics on compact manifolds with a Riemannian or Finsler metric can be derived using Morse theory for the energy functional. This functional is defined on the free loop space of the underlying manifold.

Date and time info
Wednesday 09:15 - 10:45

Keywords
energy functional, free loop space, critical point theory, index of iterates

Prerequisites
Basic knowledge of differential geometry and algebraic topology

Audience
MSc students, PhD students, Postdocs

Language
English