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Geodesic loops and periodic geodesics on a Riemannian manifold diffeomorphic toS3

โœ Scribed by Regina Rotman

Publisher
Springer-Verlag
Year
2007
Tongue
French
Weight
381 KB
Volume
257
Category
Article
ISSN
0025-5874

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๐Ÿ“œ SIMILAR VOLUMES

Periodic solutions for singular Hamilton
Periodic solutions for singular Hamiltonian systems and closed geodesics on non-compact Riemannian manifolds
โœ Kazunaga Tanaka ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 206 KB

We study the existence of periodic solutions of singular Hamiltonian systems as well as closed geodesics on non-compact Riemannian manifolds via variational methods. For Hamiltonian systems, we show the existence of a periodic solution of prescribed-energy problem: