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arXiv 2002.096872020-02math.DS

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

Roberto Giambó, Fabio Giannoni, Paolo Piccione

备注：: 35 pages

英文摘要：

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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