Metallic structures on tangent bundles of Lorentzian para-Sasakian manifolds

Let M be a Lorentzian para-Sasakian manifold with a Lorentzian para-Sasakian structure (φ,η,ξ,g). In this paper, we introduce some metallic structures on tangent bundle of the manifold M using vertical, horizontal and complete lifts of the Lorentzian para-Sasakian structure (φ,η,ξ,g) and investigate their parallelity. We also consider fundamental ۲-forms and try to find conditions under which these ۲-forms are closed.

Keywords:

Lorentzian para-Sasakian manifold , tangent bundle , complete lift