For more information about this meeting, contact Anatole Katok, Dmitri Burago.
| Title: | Morse index, stability and multiplicity of closed geodesics, |
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| Seminar: | Center for Dynamics and Geometry Seminar |
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| Speaker: | Huagui Duan, Nankai University, visiting Penn State |
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| Abstract: |
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| 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 |
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| Date: | 10 / 08 / 2012 |
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| Time: | 03:30pm - 05:30pm |
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