Title of article :
Existence of orthogonal geodesic chords on Riemannian manifolds with concave boundary and homeomorphic to the image-dimensional disk
Original Research Article
Author/Authors :
Roberto Giambo، نويسنده , , Fabio Giannoni، نويسنده , , Paolo Piccione، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2010
Abstract :
In this paper we give a proof of the existence of an orthogonal geodesic chord on a Riemannian manifold homeomorphic to a closed disk and with concave boundary. This kind of study is motivated by the link (proved in Giambò et al. (2005) [8]) of the multiplicity problem with the famous Seifert conjecture (formulated in Seifert (1948) [1]) about multiple brake orbits for a class of Hamiltonian systems at a fixed energy level.
Keywords :
Orthogonal geodesic chords , Riemannian manifolds , Concave boundary , Brake orbits , Seifert conjecture
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Journal title :
Nonlinear Analysis Theory, Methods & Applications