2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/132733A classical result about minimal geodesics on R^2 with Z^2 periodic metric that goes back to H.M. Morse asserts that a minimal geodesic that is asymptotic to a periodic minimal geodesic cannot intersect any periodic minimal geodesic of the same period. This paper treats a similar theorem for nonparametric minimizing hypersurfaces without selfintersections -- as were studied by J. Moser, V. Bangert, P.H. Rabinowitz, E. Stredulinsky and others.17 pages, 1 figureAnalysis of PDEsDynamical Systems58E30; 37C85; 35J20text