论文标题
在Lobachevsky双曲机上具有剩余不变的Finsler结构
On an isoperimetric problem on the Lobachevsky hyperbolic plane with left-invariant Finsler structure
论文作者
论文摘要
我们在Finsler双曲机平面上处理同一问题。该空间被定义为具有剩余不变的Finsler结构的线路仿射变换的谎言组。要陈述问题，我们使用左右体积表单。根据凸三角学函数发现了最佳等级环。我们还提出了参数形式的等术不平等的概括。
We deal with an isoperimetric problem on the Finsler hyperbolic plane. The space is defined as the Lie group of proper affine transformations of the line with a left-invariant Finsler structure. To state the problem, we use the left-invariant volume form. The optimal isoperimetric loops are found in terms of convex trigonometry functions. We also propose a generalization of the isoperimetric inequality in parametric form.
