Open problems and questions about geodesics

被引：20

作者：

Burns, Keith ^{[1
]}

Matveev, Vladimir S. ^{[2
]}

机构：

[1] Northwestern Univ, Dept Math, Evanston, IL 60208 USA

[2] Friedrich Schiller Univ Jena, Inst Math, D-07743 Jena, Germany

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2021年 / 41卷 / 03期

关键词：

geodesics; closed geodesic; entropy; integrable geodesic flows; projectively equivalent metrics; POSITIVE TOPOLOGICAL-ENTROPY; MARKED LENGTH-SPECTRUM; CLOSED GEODESICS; BOUNDARY RIGIDITY; LORENTZIAN MANIFOLDS; POLYNOMIAL INTEGRALS; RIEMANNIAN MANIFOLD; OBATA CONJECTURE; CONJUGATE-POINTS; MINIMAL ENTROPY;

D O I：

10.1017/etds.2019.73

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper surveys open problems and questions related to geodesics defined by Riemannian, Finsler, semi-Riemannian and magnetic structures on manifolds. It is an extended report on problem sessions held during the International Workshop on Geodesics in August 2010 at the Chern Institute of Mathematics in Tianjin.

引用

页码：641 / 684

页数：44

共 214 条

[1] Sharp systolic inequalities for Reeb flows on the three-sphere [J].