MINIMAL GEODESICS

被引：54

作者：

BANGERT, V ^{[1
]}

机构：

[1] UNIV BERN,INST MATH,CH-3012 BERN,SWITZERLAND

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 1990年 / 10卷

关键词：

D O I：

10.1017/S014338570000554X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Motivated by the close relation between Aubry-Mather theory and minimal geodesies on a 2-torus we study the existence and properties of minimal geodesics in compact Riemannian manifolds of dimension 3. We prove that there exist minimal geodesics with certain rotation vectors and that there are restrictions on the rotation vectors of arbitrary minimal geodesics. A detailed analysis of the minimal geodesics of the “Hedlund examples“shows that - to a certain extent - our results are optimal. © 1990, Cambridge University Press. All rights reserved.

引用

页码：263 / 286

页数：24

共 20 条

[1] THE DISCRETE FRENKEL-KONTOROVA MODEL AND ITS EXTENSIONS .1. EXACT RESULTS FOR THE GROUND-STATES [J].