A NOTE ON GENERALISED LORENTZIAN SASAKIAN MANIFOLD

In 2011, R. Nivas and A. Bajpai [2] discussed on generalized Lorentzian Para-Sasakian manifolds. In 1994, L.K.Pandey and R.H.Ojha [3] studied on LP-contact manifold. In 1970, K. Yano [5] discussed on semi symmetric metric connections. Symmetric metric connections are also discussed by Nirmala S. Agashe and Mangala R. Chafle [1], R. N. Singh and S. K. Pandey [4] and many others. In this paper, generalised nearly Lorentzian Sasakian and generalised almost Lorentzian Sasakian manifolds have been discussed and some of their properties have been established with generalised Lorentzian Co-symplectic manifolds. Semi-symmetric metric F-connection in a generalised Lorentzian Sasakian manifold has also been discussed.