On the intrinsic behaviour of the internal variable in the Finslerian field theory

Under the premise that the intrinsic behaviour of the internal variable (i.e. vector) y of the Finslerian field should be grasped by the intrinsic connection of y (i.e. delta y), which is different from the conventional absolute differential of y (i.e. Dy), the relation between Dy and delta y is obtained. Then, the connection structure in the case where y = y(x), (i.e. y is reduced to a function of point x) is considered.