Asymptotic expansions for closed orbits in homology classes

被引：24
作者：
Pollicott, M [1 ]
Sharp, R [1 ]
机构：
[1] Univ Manchester, Dept Math, Manchester M13 9PL, Lancs, England
来源：
GEOMETRIAE DEDICATA | 2001年 / 87卷 / 1-3期
关键词：
closed geodesic; homology class; Anosov flow; L-function;
D O I：
10.1023/A:1012097314447
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the behaviour of the counting function associated to the closed geodesics lying in a prescribed homology class on a compact negatively curved manifold. Our main result is an asymptotic expansion. We also obtain results in the wider context of periodic orbits of Anosov flows.
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页码：123 / 160
页数：38
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