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Totally geodesic singular orbits and symmetric singular orbits in cohomogeneity one Riemannian manifolds

✍ Scribed by H. Abedi; D. V. Alekseevsky; S. M. B. Kashani


Book ID
111473259
Publisher
SP MAIK Nauka/Interperiodica
Year
2008
Tongue
English
Weight
927 KB
Volume
29
Category
Article
ISSN
1995-0802

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Periodic solutions for singular Hamilton
✍ Kazunaga Tanaka πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 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: