• A NOTE ON GENERALIZED L- CONTACT STRUCTURE

Abstract

In 1989, K. Matsumoto [1] introduced the notion of manifolds with Lorentzian paracontact metric structure. Also in 1988, K. Matsumoto and I. Mihai [2] discussed on a certain transformation in a Lorentzian Para-Sasakian manifold and in 2011, R. Nivas and A. Bajpai  [5] studied on generalized Lorentzian Para-Sasakian manifolds. In 1994, the author with R.H.Ojha [6] studied on D-conformal transformation in LP-contact manifold. In 1980, R. S. Mishra and S. N. Pandey [3] discussed on quarter-symmetric metric F-connection and in 1982, K. Yano [8] studied on semi symmetric metric connections and their curvature tensors. Symmetric metric connections are also studied by K. Yano and T. Imai [9], Nirmala S. Agashe and Mangala R. Chafle [4], R. N. Singh and S. K. Pandey [7] and many others. The purpose of this paper is to study generalized induced connection in a generalized Lorentzian contact manifold. Generalized D-conformal transformation on Lorentzian contact structure has also been discussed.