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.
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页码：287 / 296
页数：10
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