Geodesic
Conservation laws for classical particles in anti-de Sitter–Beltrami space
Teoretičeskaâ i matematičeskaâ fizika, Tome 176 (2013) no. 1, pp. 13-21 Cet article a éte moissonné depuis la source Math-Net.Ru

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The behavior of free classical pointlike particles is governed by conservation laws in the anti-de Sitter space. We present the general form of these laws and their realization in the Beltrami coordinates. In these coordinates, we can pass to the nonrelativistic limit resulting in physics in the $R$ space. We construct the initial covariant distribution function for an ideal gas uniformly filling the entire $R$ space.
Keywords: relativity principle, relativistic kinematics, anti-de Sitter space, Beltrami coordinates. 
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T. Angsachon; S. N. Manida; M. E. Chaikovskii. Conservation laws for classical particles in anti-de Sitter–Beltrami space. Teoretičeskaâ i matematičeskaâ fizika, Tome 176 (2013) no. 1, pp. 13-21. http://geodesic.mathdoc.fr/item/TMF_2013_176_1_a1/

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