标题： 非参数化最小超曲面的莫尔斯类型唯一性定理 显示英文标题

标题： A Morse type uniqueness theorem for non-parametric minimizing hypersurfaces

摘要： 一个关于R^2上具有Z^2周期度量的最小测地线的经典结果，可以追溯到H.M. Morse，该结果指出，渐近于周期性最小测地线的最小测地线不能与同一周期的任何周期性最小测地线相交。本文研究了非参数化最小超曲面的类似定理，这些超曲面没有自交现象——正如J. Moser、V. Bangert、P.H. Rabinowitz、E. Stredulinsky等人所研究的那样。 显示英文摘要

摘要： 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.