On warped product semi invariant submanifolds of nearly (ε, δ)-trans Sasakian manifold

Abstract

In this paper, we have concentrated on the inquest of warped product semi-invariant submanifolds of a nearly (ε, δ)-trans-Sasakian manifold. Firstly, some properties of this structure are acquired. Further, we established the warped product of the type E_⊥ x _yE_P is a usual Riemannian product of E_⊥ and E_P , where E_⊥ and E_P are anti-invariant and invariant submanifolds of a nearly (ε, δ)-trans-Sasakian manifold M , respectively. Also, we explored the warped product of the type E_P x _yE_⊥ and acquired a depiction for such type of warped product.