Article ID Journal Published Year Pages File Type
841372 Nonlinear Analysis: Theory, Methods & Applications 2010 48 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Authors
, , ,