On Invariant Submanifolds of SQ-Sasakian Manifolds

Abstract

In this paper, we study invariant submanifolds of SQ-Sasakian manifolds. We prove that a three dimensional invariant submanifold of SQ-manifold is totally geodesic. Furthermore, we study an invariant submanifold of SQ-Sasakian manifolds satisfying Q(S,∇ ̃_X α)=0,Q(S,R ̃⋅α)=0,Q(g,C ̃⋅α)=0 and Q(S,C ̃⋅α)=0. Finally, we construct a non-trivial example to verify our results.