Frenet formulas for curves in a generalized Riemannian space

Svetislav M. Minčić

In a generalized Riemannian space $GR_n$,as defined by L. P. Eisenhart [l],[2],the basical tensor is nonsymmetrie and it is posible to define two kinds of absolute derivative of a vector and of this base, in the present worktwo kinds of Frenet formulas of a curve are obtained. Further, Frenet formulas for curves in the associated Riemannian space $R_N$ are observed,and then relations between two kinds of curvatures of a curve in the $GR_N$ and the curvatures of the same curve in the $R_N$ are established.