Closed geodesics on surfaces without conjugate points

被引：5
|
作者：
Climenhaga, Vaughn [1 ]
Knieper, Gerhard [2 ]
War, Khadim [3 ]
机构：
[1] Univ Houston, Dept Math, Houston, TX 77204 USA
[2] Ruhr Univ Bochum, Dept Math, D-44780 Bochum, Germany
[3] IMPA, Estr Dona Castorina 110, Rio De Janeiro, Brazil
来源：
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2022年 / 24卷 / 06期
关键词：
Geodesic flows; no conjugate points; closed geodesics; equidistribution; Margulis asymptotics; MAXIMAL ENTROPY; PERIODIC-ORBITS; FLOWS; MANIFOLDS; GROWTH; UNIQUENESS;
D O I：
10.1142/S021919972150067X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We obtain Margulis-type asymptotic estimates for the number of free homotopy classes of closed geodesics on certain manifolds without conjugate points. Our results cover all compact surfaces of genus at least 2 without conjugate points.
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页数：35
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