CHARACTERIZATION OF ANOSOV-FLOWS IN 3-MANIFOLDS WITH WEAK FOLIATIONS

被引：62

作者：

BARBOT, T ^{[1
]}

机构：

[1] UNIV BOURGOGNE,TOPOL LAB,CNRS,URA 755,F-21004 DIJON,FRANCE

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 1995年 / 15卷

关键词：

D O I：

10.1017/S0143385700008361

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider Anosov flows on closed 3-manifolds. We show that if such a flow admits a weak foliation whose lifting in the universal covering is a product foliation, then it is characterized up to topological equivalence by its weak stable foliation up to topological conjugacy. As a corollary we obtain that, up to topological equivalence and finite coverings, suspensions and geodesic flows are the unique Anosov flows on closed 3-manifolds whose weak stable foliations are transversely projective.

引用

页码：247 / 270

页数：24

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