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arXiv 2204.03052math.DG
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Finsler-Poincaré圆盘的三种等距等价模型

Three isometrically equivalent models of the Finsler-Poincaré disk

Ágnes Mester, Alexandru Kristály

摘要:

给出了二维Funk模型与Finsler-Poincaré盘的等距性。然后,我们介绍了芬斯勒庞加莱上半平面模型,这原来也是等距等价于以前的模型。作为应用,我们给出了上述三种空间的第一特征值的无间隙特征。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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