A TOPOLOGICAL INVARIANT FOR VOLUME PRESERVING DIFFEOMORPHISMS

被引：8

作者：

GAMBAUDO, JM ^{[1
]}

PECOU, E ^{[1
]}

机构：

[1] INST NONLINEAIRE NICE,CNRS,UMR 129,F-06560 VALBONNE,FRANCE

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 1995年 / 15卷

关键词：

D O I：

10.1017/S0143385700008506

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a smooth diffeomorphism f in R(n+2), which possesses an invariant n-torus T-n, such that the restriction firn is topologically conjugate to an irrational rotation, we define a number which represents the way the normal bundle to the torus T-n asymptotically wraps around T-n. We prove that this number is a topological invariant among volume-preserving maps. This result can be seen as a generalization of a theorem by Naishul, for which we give a simple proof.

引用

页码：535 / 541

页数：7