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Journal articles
On the existence of infinitely many closed geodesics on non-compact manifolds
Abstract : We prove that any complete (and possibly non-compact) Rie-mannian manifold M possesses infinitely many closed geodesics provided its free loop space has unbounded Betti numbers in degrees larger than dim(M), and there are no close conjugate points at infinity. Our argument builds on an existence result due to Benci and Giannoni, and generalizes the celebrated theorem of Gromoll and Meyer for closed manifolds.
Cited literature [17 references]
https://hal-ens-lyon.archives-ouvertes.fr/ensl-01520339
Contributor : Marco Mazzucchelli <>
Submitted on : Wednesday, May 10, 2017 - 1:25:38 PM
Last modification on : Tuesday, December 8, 2020 - 9:43:30 AM
Long-term archiving on: : Friday, August 11, 2017 - 1:00:35 PM
Contributor : Marco Mazzucchelli <>
Submitted on : Wednesday, May 10, 2017 - 1:25:38 PM
Last modification on : Tuesday, December 8, 2020 - 9:43:30 AM
Long-term archiving on: : Friday, August 11, 2017 - 1:00:35 PM
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non_compact.pdf
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