CLOSED ORBITS IN HOMOLOGY CLASSES FOR ANOSOV-FLOWS

被引：52

作者：

SHARP, R ^{[1
]}

机构：

[1] INST HAUTES ETUD SCI,F-91440 BURES SUR YVETTE,FRANCE

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 1993年 / 13卷

关键词：

D O I：

10.1017/S0143385700007434

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider transitive Anosov flows phi: M --> M and give necessary and sufficient conditions for every homology class in H-1 (M, Z) to contain a closed phi-orbit. Under these conditions, we derive an asymptotic formula for the number of closed phi-orbits in a fixed homology class, generalizing a result of Katsuda and Sunada.

引用

页码：387 / 408

页数：22

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