Generalised Cauchy-Riemann Lightlike Submanifolds of Indefinite Kenmotsu Manifolds

被引：6

作者：

Gupta, Ram Shankar ^{[1
]}

Sharfuddin, A. ^{[2
]}

机构：

[1] Guru Gobind Singh Indraprastha Univ, Univ Sch Basic & Appl Sci, Sector 16C, Delhi 110075, India

[2] Jamia Millia Islamia, Fac Nat Sci, Dept Math, New Delhi 110025, India

来源：

NOTE DI MATEMATICA | 2010年 / 30卷 / 02期

关键词：

Degenerate metric; Kenmotsu manifold; CR-submanifold;

D O I：

10.1285/115900932v30n2p49

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 GCR-lightlike submanifold of an indefinite Kenmotsu manifold have also been given.

引用

页码：49 / 59

页数：11

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