Multiple orthogonal geodesic chords and a proof of Seifert's conjecture on brake orbits
Dynamical Systems
2022-06-07 v3
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.
Keywords
Cite
@article{arxiv.2002.09687,
title = {Multiple orthogonal geodesic chords and a proof of Seifert's conjecture on brake orbits},
author = {Roberto Giambó and Fabio Giannoni and Paolo Piccione},
journal= {arXiv preprint arXiv:2002.09687},
year = {2022}
}
Comments
35 pages