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.

引用

页数：35

共 50 条

[1] CLOSED SURFACES WITHOUT CONJUGATE POINTS
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PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1948, 34 (02) : 47 - 51
[2] GEODESICS AND ENDS IN CERTAIN SURFACES WITHOUT CONJUGATE POINTS
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[3] Geodesics without conjugate points and curvatures at infinity
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[6] On the existence of focal points near closed geodesics on surfaces
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[10] On compact Lorentzian surfaces without conjugate points
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