Geometry of contact and complex structures with statistical manifolds

Abstract

This paper aims to introduce the concept of contact structure with statistical manifold and to explore the properties of lightlike hypersurfaces within
such manifolds. It also examines the relationships among induced geometric
objects with respect to dual connections. Finally, the paper demonstrates
that an invariant lightlike submanifold of an indefinite quasi-Sasakian statistical manifold retains the structure of an indefinite quasi-Sasakian statistical
manifold.