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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Bibliographic Details
Main Authors: Clapp, Mónica (Author) , Puppe, Dieter (Author)
Format: Article (Journal)
Language:English
Published: 1996
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
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Author Notes:Mónica Clapp, Dieter Puppe
Description
Summary: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.
Item Description:Elektronische Reproduktion der Druck-Ausgabe 16. Februar 1999
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Physical Description:Online Resource
DOI:10.1016/S0926-2245(96)00032-0