PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Anatole Katok, Dmitri Burago.

Title:Morse index, stability and multiplicity of closed geodesics,
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Huagui Duan, Nankai University, visiting Penn State
Abstract:
A closed geodesic can be regarded as a critical point of the energy functional with positive energy. The closed geodesic problem is a traditional and important topic in dynamical systems and differential geometry. There is a longstanding conjecture that there exist infinitely many distinct closed geodesics on every compact Riemannian manifold. The current interest on this problem is on compact simply connected manifolds, specially spheres. In this talk, I shall give a survey on the study of this problem and explain how the Morse indices are applied to study the stability and multiplicity of closed geodesics on compact simply connected Riemannian (, or Finsler) manifolds.

Room Reservation Information

Room Number:MB106
Date:10 / 08 / 2012
Time:03:30pm - 05:30pm