Chung and et al. ([2].1991) introduced a new concept of a manifold, denoted by

, in Einstein's n-dimensional

-unified field theory. The manifold

is a generalized n-dimensional Riemannian manifold on which the differential geometric structure is imposed by the unified field tensor

through the SE-connection which is both Einstein and semi-symmetric. In this paper, they proved a necessary and sufficient condition for the unique existence of SE-connection and sufficient condition for the unique existence of SE-connection and presented a beautiful and surveyable tensorial representation of the SE-connection in terms of the tensor

. Recently, Chung and et al.([3],1998) obtained a concise tensorial representation of SE-curvature tensor defined by the SE-connection of

and proved deveral identities involving it. This paper is a direct continuations of [3]. In this paper we derive surveyable tensorial representations of constracted curvature tensors of

and prove several generalized identities involving them. In particular, the first variation of the generalized Bianchi's identity in

, proved in theorem (2.10a), has a great deal of useful physical applications.