On Non-Invariant Hypersurfaces of δ-Lorentzian Trans-Sasakian Manifolds

Puneet Kumar Gupt, Shyam Kishor

Volume 15 Issue 6

Global Journal of Science Frontier Researc

The object of the present paper is to study non-invariant Hypersurfaces of 𝛿𝛿− Lorentzian trans-Sasakian Manifolds equipped with (f; g; u; v; )− structure and some properties obeyed by this structure are obtained also. The necessary and sufficient conditions have been otained for totally umbilical non-invariant hypersurfaces with ( f; g; u; v; ) −structure of 𝛿𝛿−Lorentzian trans- Sasakian Manifold to be totally geodesic.