Existence of orthogonal geodesic chords on Riemannian manifolds with concave boundary and homeomorphic to the \(N\)-dimensional disk

DOI10.1016/j.na.2010.03.019zbMath1193.37027arXiv1003.3846OpenAlexW1995230124WikidataQ115343053 ScholiaQ115343053MaRDI QIDQ975829

Fabio Giannoni, Paolo Piccione, Roberto Giambò

Publication date: 11 June 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.3846

zbMATH Keywords

orthogonal geodesic chordsbrake orbitsSeifert conjecture

Mathematics Subject Classification ID

Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (9)

Brake orbits for Hamiltonian systems of the classical type via geodesics in singular Finsler metrics ⋮ Seifert Conjecture in the Even Convex Case ⋮ Multiple brake orbits in \(m\)-dimensional disks ⋮ On the normal exponential map in singular conformal metrics ⋮ A multiplicity result for orthogonal geodesic chords in Finsler disks ⋮ Multiple brake orbits and homoclinics in Riemannian manifolds ⋮ Multiple orthogonal geodesic chords in nonconvex Riemannian disks using obstacles ⋮ A multiplicity result for Euler-Lagrange orbits satisfying the conormal boundary conditions ⋮ Multiplicity results for orthogonal geodesic chords and applications

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