Expansive flows of the three-sphere

被引：2
|
作者：
Artigue, Alfonso [1 ]
机构：
[1] Univ Repub, Dept Matemat & Estadist Litoral, Salto, Uruguay
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2015年 / 41卷
关键词：
Expansive flow; Triangular billiard; Geodesic flow; Hyperbolic geometry; HOMEOMORPHISMS; DIFFEOMORPHISMS; BILLIARDS; SURFACES;
D O I：
10.1016/j.difgeo.2015.04.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we show that the three-dimensional sphere admits transitive expansive flows in the sense of Komuro with hyperbolic equilibrium points. The result is based on a construction that allows us to see the geodesic flow of a hyperbolic three-punctured two-dimensional sphere as the flow of a smooth vector field on the three-dimensional sphere. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：91 / 101
页数：11
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