| Tartalmi leírás: |
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.
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| Azonosító: |
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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