Artículos de revistas
Existence of orthogonal geodesic chords on Riemannian manifolds with concave boundary and homeomorphic to the N-dimensional disk
Fecha
2010Registro en:
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v.73, n.2, p.290-337, 2010
0362-546X
10.1016/j.na.2010.03.019
Autor
GIAMBO, Roberto
GIANNONI, Fabio
PICCIONE, Paolo
Institución
Resumen
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 Giambo 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. (C) 2010 Elsevier Ltd. All rights reserved.