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arXiv · 1305.2799

Linking and closed orbits

Stefan Suhr·Kai Zehmisch
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Abstract

We show that the Lagrangian of classical mechanics on a Riemannian manifold of bounded geometry carries a periodic solution of motion with rescribed energy, provided the potential satisfies an asymptotic growth condition, changes sign, and the negative set of the potential is non-trivial in the relative homology.

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Stefan Suhr, Kai Zehmisch. 2013-05-13. Linking and closed orbits. https://doi.org/10.1007/s12188-016-0118-5

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