Abstract
The embedding method is employed to construct the spinor-field equation in curved space. The equivalence conditions are given for spinor-field equations in the original curved 4-space and in the flat 6-space of embedding.
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D. F. Kurgelaidze and L. N. Plyusnin, Izv. Vuzov SSSR, Fizika, No. 70, 79 (1971).
P. Kh. Rashevskii, UMN,10, No. 2, 64 (1955).
A. A. Sokolov and D. D. Ivanenko, Quantum Field Theory [in Russian], Fizmatgiz (1952).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, Vol. 15, No. 10, pp. 20–25, October, 1972.
The authors would like to express their gratitude to Professor D. Ivanenko for discussing this problem with them.
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Kurdgelaidze, D.F., Plyusnin, L.N. Construction of spinor-field equations in cosmological space. Soviet Physics Journal 15, 1399–1403 (1972). https://doi.org/10.1007/BF00892082
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DOI: https://doi.org/10.1007/BF00892082