A note on asymptotic expansions for closed geodesics in homology classes

被引：0
|
作者：
Motoko Kotani
机构：
[1] Mathematical Institute,
[2] Graduate School of Sciences,undefined
[3] Tohoku University,undefined
[4] Aoba,undefined
[5] Sendai 980-77,undefined
[6] Japan (e-mail: kotani@math.tohoku.ac.jp ,undefined
来源：
Mathematische Annalen | 2001年 / 320卷
关键词：
Manifold; Asymptotic Expansion; Dynamical Property; Homology Class; Counting Function;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The counting function of prime closed geodesics in a fixed homology class is investigated for a closed negatively curved manifold. The coefficients in its asymptotic expansion is described by means of dynamical properties of the geodesic flow. Their dependency on the homology class is clarified by looking at the dominant terms.
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页码：507 / 529
页数：22
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