Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841372 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 48 Pages |
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.
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Authors
Roberto Giambò, Fabio Giannoni, Paolo Piccione,