Critical point theory of symmetric functions and closed geodesics
We develop a version of equivariant critical point theory particularly adapted to finding closed geodesics by variational methods and use it to improve the known lower bounds for the number of “short” closed geodesics on some closed Riemannian manifolds.
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| Main Authors: | , |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
1996
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| In: |
Differential geometry and its applications
Year: 1996, Volume: 6, Issue: 4, Pages: 367-396 |
| DOI: | 10.1016/S0926-2245(96)00032-0 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/S0926-2245(96)00032-0 Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S0926224596000320 |
| Author Notes: | Mónica Clapp, Dieter Puppe |
MARC
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| 520 | |a We develop a version of equivariant critical point theory particularly adapted to finding closed geodesics by variational methods and use it to improve the known lower bounds for the number of “short” closed geodesics on some closed Riemannian manifolds. | ||
| 650 | 4 | |a Borel cohomology | |
| 650 | 4 | |a Closed geodesics | |
| 650 | 4 | |a equivariant critical point theory | |
| 650 | 4 | |a free loop space | |
| 650 | 4 | |a Lusternik-Schnirelmann method | |
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