Geodesic
On definitions of Finsler spaces and axiomatics of singular Finsler geometry
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the XVII All-Russian Youth School-Conference «Lobachevsky Readings-2018», November 23-28, 2018, Kazan. Part 1, Tome 175 (2020), pp. 3-18

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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, intrinsic metric, strictly convex norm.
Mots-clés : tangent space 
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     title = {On definitions of {Finsler} spaces and axiomatics of singular {Finsler} geometry},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
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P. D. Andreev. On definitions of Finsler spaces and axiomatics of singular Finsler geometry. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the XVII All-Russian Youth School-Conference «Lobachevsky Readings-2018», November 23-28, 2018, Kazan. Part 1, Tome 175 (2020), pp. 3-18. http://geodesic.mathdoc.fr/item/INTO_2020_175_a0/