芬斯勒-庞卡罗圆盘的三个等距离等效模型

2021 IEEE 15th International Symposium on Applied Computational Intelligence and Informatics (SACI) Pub Date : 2021-05-19 DOI:10.1109/SACI51354.2021.9465545

Á. Mester, A. Kristály

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引用次数: 2

摘要

我们提出了二维Funk模型和芬斯勒-庞卡罗圆盘之间的等距。然后，我们引入了Finslerian poincar上半平面模型，该模型与前面的模型也是等距等价的。作为应用，我们给出了上述三个空间的第一特征值的无间隙特性。

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Three isometrically equivalent models of the Finsler-Poincaré disk

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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来源期刊

2021 IEEE 15th International Symposium on Applied Computational Intelligence and Informatics (SACI)

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