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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.

DOI Code: 10.1285/i15900932v30n2p49

Keywords: Degenerate metric; Kenmotsu manifold; CR-submanifold

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