Semi-invariant submanifold of Lorentzian Sasakian manifolds

Abstract

In this paper, we introduce the notion of semi-invariant submanifold of Lorentzian almost contact manifold. The integrability condition for the distributions D, Dୄ and some properties of semi-invariant submanifolds of Lorentzian Sasakian manifold are found. According to these cases semi-invariant submanifold of Lorentzian Sasakian manifold is categorized and its used to demonstrate that the method presented in this is effective.