A Morse type uniqueness theorem for non-parametric minimizing hypersurfaces

Details A Morse type uniqueness theorem for non-parametric minimizing hypersurfaces A Morse type uniqueness theorem for non-parametric minimizing hypersurfaces

2007-07-02

arxiv.org/abs/0707.0017v1

Mathematics

Analysis of PDEs

17 pages, 1 figure

Scientific paper

A 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.

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