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- W4301851904 abstract "In this paper, we establish the existence of periodic orbits of a twisted geodesic flow on all low energy levels and in all dimensions whenever the magnetic field form is symplectic and spherically rational. This is a consequence of a more general theorem concerning periodic orbits of autonomous Hamiltonian flows near Morse-Bott non-degenerate, symplectic extrema. Namely, we show that all energy levels near such extrema carry periodic orbits, provided that the ambient manifold meets certain topological requirements. This result is a partial generalization of the Weinstein-Moser theorem. The proof of the generalized Weinstein-Moser theorem is a combination of a Sturm-theoretic argument and a Floer homology calculation." @default.
- W4301851904 created "2022-10-05" @default.
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- W4301851904 date "2007-05-13" @default.
- W4301851904 modified "2023-09-25" @default.
- W4301851904 title "Periodic Orbits of Twisted Geodesic Flows and The Weinstein-Moser Theorem" @default.
- W4301851904 doi "https://doi.org/10.48550/arxiv.0705.1818" @default.
- W4301851904 hasPublicationYear "2007" @default.
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