Abstract
In the present paper, we determine the nonholonomic Frames for Finsler space with special (α, β) -metrics of various type and also we observed the nonholonomic frames expesses as a Guage Transformation of Finsler metric.
Highlights
The concept of theory of gauge transformation has been established in the context of Finsler space by G
Holland worked on a unified field theory that uses a nonholonomic Finsler frame on space-time is a sort of plastic deformation by considering the motion of charged particles in an electromagnetic field[2,3,4]
Nonholonomic frames have studied by so many physicists and geometricians about the motion of charged particles in electromagnetic field theory
Summary
The concept of theory of gauge transformation has been established in the context of Finsler space by G. Asanov and his co-researchers (1985-1989) [1], here interesting thing is that the theory of guage transformation the Finsler tangent vectors are considered as independent variables are attached to points in space-time. R. Holland worked on a unified (formalism) field theory that uses a nonholonomic Finsler frame on space-time is a sort of plastic deformation by considering the motion of charged particles in an electromagnetic field[2,3,4]. G. Beil [5,6] have worked on a guage transformation considered as a nonholonomic frame on the tangent bundle of a four-dimensional base manifold. Beil [5,6] have worked on a guage transformation considered as a nonholonomic frame on the tangent bundle of a four-dimensional base manifold This introduces that there is unified approach to gravitation and guage symmetries. I.e., product of Randers metric and first approximate Matsumoto metric
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