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On Projectively Flat Finsler Warped Product Metrics of Constant Flag Curvature
The Journal of Geometric Analysis ( IF 1.1 ) Pub Date : 2021-05-24 , DOI: 10.1007/s12220-021-00690-5
Huaifu Liu , Xiaohuan Mo

In this paper, we study locally projectively flat Finsler metrics of constant flag curvature. We find equations that characterize these metrics by warped product. Using the obtained equations, we manufacture new locally projectively flat Finsler warped product metrics of vanishing flag curvature. These metrics contain the metric introduced by Berwald and the spherically symmetric metric given by Mo-Zhu.



中文翻译:

等旗曲率的投影平坦Finsler翘曲乘积度量

在本文中,我们研究了恒定投影曲率的局部投影平坦Finsler度量。我们发现通过变形的产品来表征这些指标的方程式。使用获得的方程式,我们制造了消失的旗面曲率的新的局部投影平坦的Finsler翘曲乘积度量。这些度量包含Berwald引入的度量和Mo-Zhu给出的球对称度量。

更新日期:2021-05-25
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