Projectively equivalent Finsler metrics on surfaces of negative Euler characteristic

被引：0

作者：

Lang, Julius ^{[1
]}

机构：

[1] Friedrich Schiller Univ Jena, Fak Math & Informat, Ernst Abbe Pl 2, D-07743 Jena, Germany

来源：

JOURNAL OF TOPOLOGY AND ANALYSIS | 2022年 / 14卷 / 01期

关键词：

Finsler metric; projective equivalence; integrable Hamiltonians; topological entropy; geodesic flow; ENTROPY;

D O I：

10.1142/S1793525320500491

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that on a surface of negative Euler characteristic, two real-analytic Finsler metrics have the same unparametrized oriented geodesics, if and only if they differ by a scaling constant and addition of a closed 1-form.

引用

页码：287 / 296

页数：10

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