The Killing–Yano Tensor
Teoretičeskaâ i matematičeskaâ fizika, Tome 134 (2003) no. 3, pp. 382-387 Cet article a éte moissonné depuis la source Math-Net.Ru

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We obtain a general solution of the equations determining the Killing–Yano tensor of rank $p$ on an $n$-dimensional $(1\leqslant p\leqslant n-1)$ pseudo-Riemannian manifold of constant curvature and discuss possible applications of the obtained result.
Keywords: constant curvature manifold, Killing–Yano tensor, Maxwell equations
Mots-clés : Dirac equations.
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S. E. Stepanov. The Killing–Yano Tensor. Teoretičeskaâ i matematičeskaâ fizika, Tome 134 (2003) no. 3, pp. 382-387. http://geodesic.mathdoc.fr/item/TMF_2003_134_3_a4/

[1] Dzh. Sing, Obschaya teoriya otnositelnosti, IL, M., 1963

[2] L. P. Eizenkhart, Rimanova geometriya, IL, M., 1948

[3] A. V. Aminova, “Gruppy preobrazovanii rimanovykh mnogoobrazii”, Itogi nauki i tekh. Problemy geometrii, 22, ed. N. M. Ostianu, VINITI, M., 1990, 97–165 | MR

[4] N. G. Ibragimov, Gruppy preobrazovanii v matematicheskoi fizike, Nauka, M., 1983 | MR

[5] D. Kramer i dr., Tochnye resheniya uravnenii Einshteina, Energoizdat, M., 1982 | MR

[6] W. Dietz, R. Rudiger, Proc. Roy. Soc. London. Math. Phys. Sci. A, 381:1781 (1982), 315–322 ; D. Baleanu, S. Codoban, Rom. J. Phys., 44:9–10 (1999), 933–938 ; В. В. Клишевич, В. А. Тюменцев, Вестн. Омского ун-та, 2000, No 3, 20–21 | DOI | MR | Zbl | MR | Zbl | Zbl

[7] N. S. Sinyukov, Geodezicheskie otobrazheniya rimanovykh prostranstv, Nauka, M., 1979 | MR | Zbl

[8] S. E. Stepanov, J. Geom. Phys., 33 (2000), 191–209 | DOI | MR | Zbl

[9] A. Besse, Mnogoobraziya Einshteina, Mir, M., 1990 | MR | Zbl

[10] S.-I. Tachibana, Tohoku Math. J., 21 (1969), 56–64 ; M. Kora, Math. J. Okayama Univ., 22 (1980), 195–204 | DOI | MR | Zbl | MR | Zbl

[11] S. E. Stepanov, Tensor N S, 58 (1997), 233–242 | MR | Zbl

[12] S. E. Stepanov, TMF, 111:1 (1997), 32–43 | DOI | MR | Zbl

[13] V. N. Shapovalov, Izv. vuzov. Fizika, 1975, no. 6, 57–63

[14] B. Carter, R. G. McLenaghan, Phys. Rev. D, 19 (1979), 1093–1115 | DOI | MR

[15] V. V. Klishevich, V. A. Tyumentsev, Izv. vuzov. Fizika, 2001, no. 8, 52–58