Three isometrically equivalent models of the Finsler-Poincar\'e disk
Differential Geometry
2022-04-08 v1
Abstract
We present the isometry between the 2-dimensional Funk model and the Finsler-Poincar\'e disk. Then, we introduce the Finslerian Poincar\'e 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.
Cite
@article{arxiv.2204.03052,
title = {Three isometrically equivalent models of the Finsler-Poincar\'e disk},
author = {Ágnes Mester and Alexandru Kristály},
journal= {arXiv preprint arXiv:2204.03052},
year = {2022}
}
Comments
IEEE 15th International Symposium on Applied Computational Intelligence and Informatics, Timisoara, Romania