Geodesic
Additional invariance of relativistic equations of motion
Teoretičeskaâ i matematičeskaâ fizika, Tome 7 (1971) no. 1, pp. 3-12 
W. I. Fushchych. Additional invariance of relativistic equations of motion. Teoretičeskaâ i matematičeskaâ fizika, Tome 7 (1971) no. 1, pp. 3-12. http://geodesic.mathdoc.fr/item/TMF_1971_7_1_a0/
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     author = {W. I. Fushchych},
     title = {Additional invariance of relativistic equations of motion},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {3--12},
     year = {1971},
     volume = {7},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1971_7_1_a0/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A study is made of the additional (implicit) symmetry of equations that are invariant under the complete Pioncar6 group. It is shown that relativistic equations are invariant under the homogeneous de Sitter group $O$(1,4) [or $O$(2,3)] and the matrix group $O$(4).

[1] V. Fok, Z. Phys., 98 (1936), 145 | DOI

[2] J. S. Lomont, Nuovo Cim., 6 (1957), 204 ; L. Gross, J. Math. Phys., 5 (1964), 687 | DOI | DOI | MR | Zbl

[3] Yu. M. Shirokov, DAN SSSR, 94 (1954), 857 ; 99 (1954), 737 ; ЖЭТФ, 33 (1957), 1196 | Zbl | Zbl | MR | Zbl

[4] L. L. Foldy, Phys. Rev., 102 (1956), 568 | DOI | MR | Zbl

[5] J. Rosen, P. Roman, J. Math. Phys., 7 (1966), 2072 | DOI | MR | Zbl

[6] Yu. M. Shirokov, ZhETF, 21 (1951), 748

[7] A. Böhm, Phys. Rev., 145 (1966), 1212 | DOI | MR

[8] A. Sankaranarajananan, Nuovo Cim., 38 (1965), 1441 | DOI

[9] V. I. Fuschich, TMF, 4 (1970), 360 | Zbl

[10] W. Pauli, Nuovo Cim., 6 (1957), 204 ; N. D. Sen Gupta, Nuovo Cim., 36 (1965), 1181 ; Н. Х. Ибрагимов, ДАН СССР, 185 (1969), 1226 | DOI | MR | Zbl | DOI

[11] C. Fronsdal, Phys. Rev., 113 (1959), 1367 | DOI | MR