“…The same concept was studied under the name contact CR-submanifold by Yano-Kon in [19] and K. Matsumoto in [16]. The study of semi-invariant submanifolds in almost contact manifold was enriched by several geometers (see, [2], [4], [5], [6], [7], [8], [12], [13], [17]). On the otherhand, almost hyperbolic , , , , structure was defined and studied by Upadhyay and Dube in [18].Joshi and Dube studied semi-invariant submanifolds of an almost rcontact hyperbolic metric manifold in [15].Motivated by the studies in ([2], [3], [4], [5], [6], [7], [8], [9]),in this paper, we study semi-invariant submanifolds of a nearly hyperbolic Kenmotsu manifold admitting a semisymmetric semi-metric connection.…”