A CLASSIFICATION OF ALMOST LORENTZIAN SASAKIAN MANIFOLD

In 2011, R. Nivas and A. Bajpai [6] studied on generalized Lorentzian Para-Sasakian manifolds. Hayden [2] introduced the idea of metric connection with torsion tensor in a Riemannian manifold. In 1970, K.Yano [7]studied on semi-symmetric metric connections and their curvature tensors.In 1975, Golab [1] studied quarter-symmetric connection in a differentiable manifold. Imai [3] studied the properties of semi-symmetric metric connection in a Riemannian manifold. In 1980, R. S. Mishra and S. N. Pandey [4] discussed on quarter-symmetric metric Fconnection. In 1992, Nirmala S. Agashe and Mangala R. Chafle [5] studied semi-symmetric non-metric connection in a Riemannian manifold. In this paper, generalized almost Lorentzian Sasakian manifolds have been discussed and some of their properties have been established with generalized almost Lorentzian Co-symplectic manifold. Semisymmetric metric F-connection in a generalized Lorentzian Sasakian manifold has also been discussed.