Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2020, Volume 175, Pages 3–18
DOI: https://doi.org/10.36535/0233-6723-2020-175-3-18 (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
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DOI: https://doi.org/10.36535/0233-6723-2020-175-3-18
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.
Document Type: Article
UDC: 514.763.62
MSC: 53B40
Language: Russian
Citation: P. D. Andreev, “On definitions of Finsler spaces and axiomatics of singular Finsler geometry”, Proceedings of the XVII All-Russian Youth School-Conference «Lobachevsky Readings-2018», November 23-28, 2018, Kazan. Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 175, VINITI, Moscow, 2020, 3–18
Citation in format AMSBIB
\Bibitem{And20}
\by P.~D.~Andreev
\paper On definitions of Finsler spaces and axiomatics of singular Finsler geometry
\inbook Proceedings of the XVII All-Russian Youth School-Conference «Lobachevsky Readings-2018»,
November 23-28, 2018, Kazan. Part 1
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 175
\pages 3--18
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into572}
\crossref{https://doi.org/10.36535/0233-6723-2020-175-3-18}
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