Lightlike Submanifolds of a Para-Sasakian Manifold
Abstract
In the present paper we study lightlike submanifolds of almost paracontact metric manifolds. We define invariant lightlike submanifolds. We study radical transversal lightlike submanifolds of para-Sasakian manifolds and investigate the geometry of distributions. Also we introduce a general notion of paracontact Cauchy-Riemann (CR) lightlike submanifolds and we derive some necessary and sufficient conditions for integrability of various distributions of paracontact CR-lightlike submanifold of a para-Sasakian manifold.
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