Peixoto graphs of Morse-Smale foliations on surfaces

被引：7

作者：

Bronstein, I

Nikolaev, I

机构：

[1] PENN STATE UNIV,DEPT MATH,UNIVERSITY PK,PA 16802

[2] UNIV MONTREAL,CTR RECH MATH,MONTREAL,PQ H3C 3J7,CANADA

来源：

TOPOLOGY AND ITS APPLICATIONS | 1997年 / 77卷 / 01期

关键词：

foliation; singular point; two-dimensional manifold; structural stability; orgraph; rotation system;

D O I：

10.1016/S0166-8641(96)00101-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider non-orientable foliations, given on orientable compact 2-manifolds. Within a special class of such foliations, a Morse-Smale class, a complete topological classification is proposed. Our main result is a generalization of the well-known M.M. Peixoto's theorems (Peixoto, 1973), to the case of foliations on surfaces. In a whole, the paper gives an understanding of the 'topological information' contained in a Morse-Smale non-orientable foliation. (C) 1997 Elsevier Science B.V.

引用

页码：19 / 36

页数：18