Geodesic
Dynamics of interacting particles with $SL(2,\mathbb R)$ symmetry
Teoretičeskaâ i matematičeskaâ fizika, Tome 184 (2015) no. 3, pp. 499-504

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We consider the evolution principles for a system of classical point-particles whose interaction has an additional $SL(2,\mathbb R)$ symmetry. We establish a relation between the additional conservation laws of the nonrelativistic mechanics and the appropriate conservation laws (in terms of the Beltrami coordinates) in the anti-de Sitter space.
Keywords: relativity principle, relativistic kinematics, anti-de Sitter space, Beltrami coordinates. 
@article{TMF_2015_184_3_a14,
     author = {S. N. Manida},
     title = {Dynamics of interacting particles with $SL(2,\mathbb R)$ symmetry},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {499--504},
     publisher = {mathdoc},
     volume = {184},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2015_184_3_a14/}
}
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S. N. Manida. Dynamics of interacting particles with $SL(2,\mathbb R)$ symmetry. Teoretičeskaâ i matematičeskaâ fizika, Tome 184 (2015) no. 3, pp. 499-504. http://geodesic.mathdoc.fr/item/TMF_2015_184_3_a14/