Linking and closed orbits

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.

We weakened the assumption to be of bounded geometry

Cited by in corpus (8)

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• Finsler geodesics, periodic Reeb orbits, and open books
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• b-Contact Structures on Tentacular Hyperboloids
• Computing the Rabinowitz Floer homology of tentacular hyperboloids
• Minimax periodic orbits of convex Lagrangian systems on complete Riemannian manifolds