Ambient Prime Geodesic Theorems on Hyperbolic 3-Manifolds

被引：3

作者：

Dever, Lindsay ^{[1
]}

Milicevic, Djordje ^{[1
,2
]}

机构：

[1] Bryn Mawr Coll, Dept Math, 101 North Mer Ave, Bryn Mawr, PA 19010 USA

[2] Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2023年 / 2023卷 / 01期

基金：

美国国家科学基金会;

关键词：

CLOSED GEODESICS; COMMENSURABILITY; HOLONOMY;

D O I：

10.1093/imrn/rnab048

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove prime geodesic theorems counting primitive closed geodesics on a compact hyperbolic 3-manifold with length and holonomy in prescribed intervals, which are allowed to shrink. Our results imply effective equidistribution of holonomy and have both the rate of shrinking and the strength of the error term fully symmetric in length and holonomy.

引用

页码：588 / 635

页数：48

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