Finsler formulation of the equations of physical fields with internal symmetries

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.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 37–41, August, 1984.