[en] In 1981, Hojo defined a scalar function φ^(p)(x,y), where p is a real number (not= 1). He used this function to define a tensor φ_ij^(p)(x,y) and a c^PΓ-connection which reduce to g_ij(x,y) and cΓ-connection for p=2. The aim of this paper is to study submanifolds of a Finsler manifold admitting a c^PΓ-connection. In this paper I have obtained four kinds of Gauss-Codazzi equations based on various derivatives in a Finsler manifold admitting a c^PΓ-connection. The method used in this paper is similar to the one used by the author in obtaining generalized Gauss-Codazzi equations based on congruences of curves in a Finsler manifold. Besides considering some special cases we have also studied the relationship between the Riemannian curvatures and Ricci tensors of the submanifold and the enveloping manifold. (author)