Abstract
In this paper we study invariant lightlike submanifolds of Lorentzian para-sasakian manifolds. We investigate geodesic CR-lightlike submanifolds of Lorentzian para-sasakian manifolds. We study screen CR-lightlike submanifolds of Lorentzian para-sasakian manifolds. Some necessary and sufficient conditions for mixed geodesic, totally geodesic, -geodesic and -geodesic contact CR-lightlike submanifolds and SCR-lightlike submanifolds are obtained.
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