A new Randers space model and its isometric equivalents

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.

Finsler models SACI 2021-1.pdf

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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)
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

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