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arXiv · 2002.09687

Multiple orthogonal geodesic chords and a proof of Seifert's conjecture on brake orbits

Roberto Giambó·Fabio Giannoni·Paolo Piccione
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Abstract

Using nonsmooth critical point theory, we prove the existence of at least N orthogonal geodesic chords in a class of Riemannian N-disk with strongly concave boundary. This yields a proof of a celebrated conjecture by H.Seifert on the number of brake orbits in a potential well of a natural Lagrangian/Hamiltonian system.

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Roberto Giambó, Fabio Giannoni, Paolo Piccione. 2020-02-22. Multiple orthogonal geodesic chords and a proof of Seifert's conjecture on brake orbits. https://arxiv.org/abs/2002.09687

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