Abstract
The Finsler formulation of the space-time geometry incorporates such internal symmetries of the physical fields as isotopic invariance of strongly interacting fields. The explicit dependence of a Yang-Mills field on the elements of the Finsler structure is found. The corresponding equations for scalar and spinor fields with internal symmetries are constructed.
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H. Rund, Differential Geometry of Finsler Spaces [Russian translation], Nauka, Moscow (1981).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 37–41, August, 1984.
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Asanov, G.S. Finsler formulation of the equations of physical fields with internal symmetries. Soviet Physics Journal 27, 660–662 (1984). https://doi.org/10.1007/BF00893107
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DOI: https://doi.org/10.1007/BF00893107