FERMI DERIVATIVE AND FERMI–WALKER TRANSPORTS OVER $(\bar{L}_n, g)$-SPACES

Abstract

The notions of Fermi covariant differential operator, Fermi derivative, and Fermi–Walker transport are generalized for the case of differentiable manifolds with different (not only by sign) contravariant and covariant affine connections and metrics [[Formula: see text]-spaces]. The generalization of Fermi–Walker transport is not unique and depends on the structure of the covariant antisymmetric tensor of second rank in the construction of the Fermi–Walker transport. The existence of such type of transport over [Formula: see text]-spaces allows the determination of a proper nonrotating accelerated observer's frame of reference, if a [Formula: see text]-space is used as a model of the space–time.