  In this paper, invariant submanifolds of a generalized Kenmotsu manifold are
studied. Necessary and sufficient conditions are given on a submanifold of a
generalized Kenmotsu manifold to be an invariant submanifold.In this case, we
investigate further properties of invariant submanifolds of \ a generalized
Kenmotsu manifold. In addition, some theorems are given related to an invariant
submanifold of a generalized Kenmotsu manifold.We consider semiparallel and
2-semiparallel invariant submanifolds of a generalized Kenmotsu manifold.
