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Multiple orthogonal geodesic chords in nonconvex Riemannian disks using obstacles. (arXiv:1807.00887v1 [math.DS])
来源于:arXiv
We use nonsmooth critical point theory and the theory of geodesics with
obstacle to show a multiplicity result about orthogonal geodesic chords in a
Riemannian manifold (with boundary) which is homeomorphic to an $N$-disk. This
applies to brake orbits in a potential well of a natural Hamiltonian system,
providing a further step towards the proof of a celebrated conjecture by
Seifert. 查看全文>>
