Relativistic equations determined by the operators of the exterior derivative and generalized divergence
Teoretičeskaâ i matematičeskaâ fizika, Tome 34 (1978) no. 1, pp. 48-58

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A relativistic wave equation is derived in terms of the operators of exterior derivative and generalized divergence. It is shown that in the space of solutions of the equation there acts a three-parameter group of transformations which affect only functions of the field and do not affect the coordinates. The conserved currents corresponding to these transformations are found. It is shown that the wave equation can be generalized to the case of curved spacetime.
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     author = {A. B. Pestov},
     title = {Relativistic equations determined by the operators of the exterior derivative and generalized divergence},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {48--58},
     publisher = {mathdoc},
     volume = {34},
     number = {1},
     year = {1978},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1978_34_1_a4/}
}
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A. B. Pestov. Relativistic equations determined by the operators of the exterior derivative and generalized divergence. Teoretičeskaâ i matematičeskaâ fizika, Tome 34 (1978) no. 1, pp. 48-58. http://geodesic.mathdoc.fr/item/TMF_1978_34_1_a4/