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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive
Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2020 Volume 175, Pages 3–18 (Mi into572)
On definitions of Finsler spaces and axiomatics of singular Finsler geometry

P. D. Andreev

Northern (Arctic) Federal University named after M. V. Lomonosov, Arkhangelsk

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.

Keywords: Finsler space, fundamental tensor, Kropina space, geodesic, tangent space, intrinsic metric, strictly convex norm.

UDC: 514.763.62

MSC: 53B40

DOI: 10.36535/0233-6723-2020-175-3-18


© Steklov Math. Inst. of RAS, 2024