Transversal Hypersurfaces of a Lorentzian Para-Sasakian Manifold with a Semi-Symmetric Metric Connection

In the present paper, Transversal hypersurfaces of Lorentzian para-Sasakian manifold endowed with a semisymmetric metric connectionhas been introduced. Some results regarding transversal hypersurfaces of Lorentzian para-Sasakian manifold with a quarter symmetric semi metric connectionhas been obtained in this context. It is also proved that transversal hypersurfaces of Lorentzian para-Sasakian manifold with a semi symmetric metric connection admits a product structure. Some properties of transversal hypersurfaces of Lorentzian para-Sasakian manifold are.本文引入了配备半对称度量联络（semisymmetric metric connection）的洛伦茨拟萨萨金流形（Lorentzian para-Sasakian manifold）的横向超曲面。在此研究框架下，本文获得了关于配备四分之一对称半度量联络（quarter symmetric semi metric connection）的洛伦茨拟萨萨金流形横向超曲面的若干结果。同时证明，配备半对称度量联络的洛伦茨拟萨萨金流形的横向超曲面具有积结构。此外，本文还探讨了洛伦茨拟萨萨金流形横向超曲面的若干性质。