Invariant Submanifolds of Kenmotsu-like Statistical Manifolds

By giving a brief definition and example of Kenmotsu-like statistical manifolds, we investigate the geometry of invariant submanifolds of Kenmotsu-like statistical manifolds. We show that invariant submanifolds of these manifolds inherit Kenmotsu-like and Kaehler-like structure if the characteristic vector field $$\zeta$$ be tangent and normal, respectively. Moreover, we prove that in tangent case, the submanifold is a statistical minimal submanifold.