• A CLASSIFICATION OF NEARLY LORENTZIAN SASAKIAN MANIFOLD

L. K. PANDEY*

Abstract


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


Keywords


Generalized nearly Lorentzian Sasakian manifold, generalized nearly Lorentzian Special Sasakian manifold, generalized Lorentzian Co-symplectic manifolds and semi-symmetric metric F-connection.

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