On three-dimensional lorentzian alpha-sasakian manifolds (dedicated in occasion of the 65-years of professor R.K. Raina)

Abstract

The object of the present paper is to study three-dimensional Lorentzian alpha-Sasakian manifolds which are Ricci-semisymmetry, locally phi-symmetric and have eta-parallel Ricci tensor. An example of a three-dimensional Lorentzian alpha-Sasakian manifold is given which verifies all the Theorems.