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 yEP is a usual Riemannian product of E⊥ and EP , where E⊥ and EP 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 EP x yE⊥ and acquired a depiction for such type of warped product.