On the theory of gravitational field in Finsler spaces - II

Continuing the last paper, more detailed considerations are made on the spatial structure of the Finslerian gravitational field; firstly, a unified field between the external (x)-field and the internal (y)-field is constructed from a vector bundle-like standpoint, where the intrinsic behavior (i.e., δy) of the internal vector variable y is taken into account; secondly, the connection structure and the metrical structure are determined by setting the base and dual base properly in the unified field; thirdly, a compactification process of the internal field (i.e., a mapping process of the (y)-field on the (x)-field) is considered in order to realize a four-dimensional Finslerian structure. (author)