Abstract
A review of various approaches to the concept of a Finsler space based on different definitions is given. In particular, the axiomatics of a singular Finsler space is given.
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Dedicated to the shiny memory of Valentina Konstantinovna Kropina
Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 175, Proceedings of the XVII All-Russian Youth School-Conference “Lobachevsky Readings-2018,” November 23-28, 2018, Kazan. Part 1, 2020.
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Andreev, P.D. On Definitions of Finsler Spaces and Axiomatics of Singular Finsler Geometry. J Math Sci 272, 751–765 (2023). https://doi.org/10.1007/s10958-023-06469-z
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DOI: https://doi.org/10.1007/s10958-023-06469-z
Keywords and phrases
- Finsler space
- fundamental tensor
- Kropina space
- geodesic
- tangent space
- intrinsic metric
- strictly convex norm