Characterization of quarter symmetric semi metric connection on transversal hypersurfaces of Lorentzian para Sasakian manifolds

In the present paper, quarter symmetric semi metric connection on transversal hypersurfaces of Lorentzianpara-Sasakian manifold is defined. It is proved that the characterization of connections for product structure and it is shown that each transversal hypersurfaces of Lorentzian para-Sasakian manifold admits an almost product Lorentzian structure on a quarter symmetric semi metric connection. Some characterization of transversal hyper surfaces of Lorentzian para-Sasakian manifold with a quarter symmetric semi metric connections are discussed which are closed.本文定义了洛伦茨拟萨萨基安流形（Lorentzian para-Sasakian manifold）横截超曲面（transversal hypersurfaces）上的四分之一对称半度量联络（quarter symmetric semi metric connection）。文中给出了积结构（product structure）联络的刻画结果，并表明洛伦茨拟萨萨基安流形的每一个横截超曲面，在四分之一对称半度量联络下，均容许殆积洛伦茨结构（almost product Lorentzian structure）。此外，本文还讨论了配备四分之一对称半度量联络的洛伦茨拟萨萨基安流形的闭横截超曲面的若干相关刻画。