Mester, Ágnes and Kristály, Alexandru (2021) A new Randers space model and its isometric equivalents. In: 15th International Symposium on Applied Computational Intelligence and Informatics (SACI), 2021. május 19. - 2021. május 21., online.
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Abstract
We introduce a new Randers model, namely the Finslerian Poincar´e upper half plane. We show that there exists an isometric diffeomorphism between this upper half plane model, the 2-dimensional Funk model, and the Finsler-Poincar´e disk, respectively, which makes the three spaces isometrically equivalent. As application, we give new examples of simply connected, non-compact Finsler manifolds with constant negative flag curvature whose first eigenvalue is zero.
| Item Type: | Conference or Workshop Item (Paper) |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika > QA73 Geometry / geometria |
| Depositing User: | Dr. Alexandru Kristaly |
| Date Deposited: | 12 Oct 2021 09:38 |
| Last Modified: | 12 Oct 2021 09:38 |
| URI: | http://real.mtak.hu/id/eprint/132365 |
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