Geodesic
Mobility spaces
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 2, Tome 180 (2020), pp. 17-22

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In this paper, we consider spaces generalizing Galileo spaces endowed with an action of a nonlinear transformation group. We prove that such spaces correspond to the space-time of a dynamics whose fundamental equations have order ${>}2$.
Keywords: Galilean space, dynamic equation.
Mots-clés : motion group 
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     author = {M. P. Burlakov},
     title = {Mobility spaces},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {17--22},
     publisher = {mathdoc},
     volume = {180},
     year = {2020},
     language = {ru},
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}
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M. P. Burlakov. Mobility spaces. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 2, Tome 180 (2020), pp. 17-22. http://geodesic.mathdoc.fr/item/INTO_2020_180_a2/