论文标题
在带标量和恒定标志曲率的球形对称鳍度量指标上
On spherically symmetric Finsler metric with scalar and constant flag curvature
论文作者
论文摘要
在本文中，我们在$ \ mathbb {r}^n $中使用标量和恒定标志曲率的对称空间上研究球形对称度量标准，我们还获得了这种类型的指标家庭。为具有标量和恒定标志曲率的道格拉斯指标提供了许多明确的示例。此外，给出了投影平坦的Finsler指标的新示例。我们还提供了一个不属于道格拉斯类型的球形对称鳍指标。
In this paper we study spherically symmetric metrics on a symmetric space in $\mathbb{R}^n$ with scalar and constant flag curvature and we also obtain families of this type of metrics. Many explicit examples are provided for Douglas metrics with scalar and constant flag curvature. Furthermore, new examples of projectively flat Finsler metrics are given. We also provide a family of spherically symmetric Finsler metrics which are not of Douglas type.
