论文标题

Finsler-Poincaré磁盘的三个等效模型

Three isometrically equivalent models of the Finsler-Poincaré disk

论文作者

Mester, Ágnes, Kristály, Alexandru

论文摘要

我们介绍了二维Funk模型和Finsler-Poincaré磁盘之间的等轴测图。然后,我们介绍了FinslerianPoincaré上半平面模型,事实证明,该模型也与先前的模型相等。作为应用,我们说明了上述三个空间的第一个特征值的无间隙特征。

We present the isometry between the 2-dimensional Funk model and the Finsler-Poincaré disk. Then, we introduce the Finslerian Poincaré upper half plane model, which turns out to be also isometrically equivalent to the previous models. As application, we state the gapless character of the first eigenvalue for the aforementioned three spaces.

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