On geometry of warped product semi invariant submanifolds of nearly (ε, δ)-trans sasakian manifold with a certain connection

Document Type : Research Paper

Authors

1 Faculty of Mathematics, Maulana Azad National Urdu University, Polytechnic of Campus Darbhanga Bihar- 846002, India

2 Department of Mathematics, University of RKDF, Ranchi, Jharkhand 834004, Ranchi, India

Abstract

In this paper, we study the geometry of warped product semi invariant submanifold of a nearly (ε, δ)-trans-Sasakian
manifold M with a quarter symmetric non metric connection. We see that warped product of the typeE⊥×yET is a usual Riemannian product of E⊥ and ET , where E⊥ and ET are anti-invariant and invariant submanifolds of a nearly
(ε, δ)-trans-Sasakian manifold with a quarter symmetric non metric connection M, respectively. We also obtain a characterization for such type of warped product. 

Keywords

References

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Journal of Hyperstructures
Volume 12, Issue 1
2023
Pages 158-172

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