A Note on Transversal hypersurfaces of Lorentzian para-Sasakian manifolds with a Semi-Symmetric Non-Metric Connection

Arjumand Ahmad; Shamsur Rahman

doi:10.56424/jts.v8i01.10558

Arjumand Ahmad Department of Mathematics Maulana Azad National Urdu University Polytechnic, Darbhanga (Branch)- 846001, Bihar, India
Shamsur Rahman Department of Mathematics Maulana Azad National Urdu University Polytechnic, Darbhanga (Branch)- 846001, Bihar, India

DOI: https://doi.org/10.56424/jts.v8i01.10558

Keywords: Lorentzian almost paracontact manifolds, Almost product metric structure, Transversal hypersurfaces, Lorentzian almost paracontact Sasakian manifolds, Quarter Semi-symmetric non metric connection.

Abstract

Transversal hypersurfaces of Lorentzian para-Sasakian manifold are defined. It is proved that the fundamental 2-form on the transversal hypersurfaces of Lorentzian para-Sasakian manifold with (f, g, u, v, λ)-structure are closed. In this paper it is shown that transversal hypersurfaces of Lorentzian para-Sasakian manifold admits a product structure with a semi symmetric non metric connection. It is shown that transversal hypersurfaces of Lorentzian para-Sasakian manifold with a semi symmetric non metric connection are closed