Generalised Cauchy-Riemann Lightlike Submanifolds of Indefinite Kenmotsu Manifolds

Abstract

In this paper we introduce the notion of generalised Cauchy-Riemann (GCR) lightlike submanifolds of indefinite Kenmotsu manifold which includes invariant, contact CR, contact screen Cauchy-Riemann (contact SCR) lightlike subclasses [12]. A condition has been discussed for GCR-lightlike submanifold of an indefinite Kenmotsu manifold to be minimal. We have also studied totally contact umbilical GCR-lightlike submanifolds. Examples of GCRlightlike submanifold of an indefinite Kenmotsu manifold have also been given.