On anti-invariant semi-Riemannian submersions from Lorentzian para-Sasakian manifolds

Abstract

In this paper, we study a semi-Riemannian submersion from Lorentzian almost (para) contact manifolds and find necessary and sufficient conditions for the characteristic vector field to be vertical or horizontal. We also obtain decomposition theorems for anti-invariant semi-Riemannian submersions from Lorentzian para-Sasakian manifolds onto  Lorentzian manifolds.