Generalised Cauchy-Riemann Lightlike Submanifolds of Indefinite Kenmotsu Manifolds

Authors

  • Ram Shankar Gupta
  • Ahmad Sharfuddin

DOI:

https://doi.org/10.1285/i15900932v30n2p49

Keywords:

Degenerate metric, Kenmotsu manifold, CR-submanifold

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.

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Published

16-10-2011

Issue

Volume 30, Issue 2 (2010)

Section

Articoli

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