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.
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页码：387 / 408
页数：22
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