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Projectively equivalent Finsler metrics on surfaces of negative Euler characteristic
Journal of Topology and Analysis ( IF 0.8 ) Pub Date : 2020-06-19 , DOI: 10.1142/s1793525320500491
Julius Lang 1
Affiliation  

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.

中文翻译:

负欧拉特征曲面上的投影等价 Finsler 度量

我们证明了在负欧拉特征的表面上,两个实解析 Finsler 度量具有相同的未参数化定向测地线,当且仅当它们通过缩放常数和闭合 1 形式相加而不同。
更新日期:2020-06-19
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