Non existence of totally contact umbilical GCR-lightlike submanifolds of indefinite Kenmotsu manifolds

Varun Jain; Rakesh Kumar; Rakesh Kumar Nagaich

Research Article

Non existence of totally contact umbilical GCR-lightlike submanifolds of indefinite Kenmotsu manifolds

Year 2015, Volume: 44 Issue: 1, 83 - 91, 01.02.2015

Varun Jain Rakesh Kumar Rakesh Kumar Nagaich

Abstract

In present paper, after finding the conditions for the integrability of
various distributions of a GCR-lightlike submanifold of indefinite Kenmotsu manifolds, we prove that there do not exist totally contact umbilical GCR-lightlike submanifolds of indefinite Kenmotsu manifolds
other than totally contact geodesic GCR-lightlike submanifolds and
moreover it is a totally geodesic GCR-lightlike submanifold.

Keywords

Indefinite Kenmotsu manifolds, GCR-lightlike submanifolds, totally contact umbilical GCR-lightlike submanifolds

References

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Year 2015, Volume: 44 Issue: 1, 83 - 91, 01.02.2015

Varun Jain Rakesh Kumar Rakesh Kumar Nagaich

Abstract

References

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There are 1 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Mathematics
Authors	Varun Jain This is me Rakesh Kumar This is me Rakesh Kumar Nagaich This is me
Publication Date	February 1, 2015
Published in Issue	Year 2015 Volume: 44 Issue: 1

Cite

APA	Jain, V., Kumar, R., & Kumar Nagaich, R. (2015). Non existence of totally contact umbilical GCR-lightlike submanifolds of indefinite Kenmotsu manifolds. Hacettepe Journal of Mathematics and Statistics, 44(1), 83-91.
AMA	Jain V, Kumar R, Kumar Nagaich R. Non existence of totally contact umbilical GCR-lightlike submanifolds of indefinite Kenmotsu manifolds. Hacettepe Journal of Mathematics and Statistics. February 2015;44(1):83-91.
Chicago	Jain, Varun, Rakesh Kumar, and Rakesh Kumar Nagaich. “Non Existence of Totally Contact Umbilical GCR-Lightlike Submanifolds of Indefinite Kenmotsu Manifolds”. Hacettepe Journal of Mathematics and Statistics 44, no. 1 (February 2015): 83-91.
EndNote	Jain V, Kumar R, Kumar Nagaich R (February 1, 2015) Non existence of totally contact umbilical GCR-lightlike submanifolds of indefinite Kenmotsu manifolds. Hacettepe Journal of Mathematics and Statistics 44 1 83–91.
IEEE	V. Jain, R. Kumar, and R. Kumar Nagaich, “Non existence of totally contact umbilical GCR-lightlike submanifolds of indefinite Kenmotsu manifolds”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 1, pp. 83–91, 2015.
ISNAD	Jain, Varun et al. “Non Existence of Totally Contact Umbilical GCR-Lightlike Submanifolds of Indefinite Kenmotsu Manifolds”. Hacettepe Journal of Mathematics and Statistics 44/1 (February 2015), 83-91.
JAMA	Jain V, Kumar R, Kumar Nagaich R. Non existence of totally contact umbilical GCR-lightlike submanifolds of indefinite Kenmotsu manifolds. Hacettepe Journal of Mathematics and Statistics. 2015;44:83–91.
MLA	Jain, Varun et al. “Non Existence of Totally Contact Umbilical GCR-Lightlike Submanifolds of Indefinite Kenmotsu Manifolds”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 1, 2015, pp. 83-91.
Vancouver	Jain V, Kumar R, Kumar Nagaich R. Non existence of totally contact umbilical GCR-lightlike submanifolds of indefinite Kenmotsu manifolds. Hacettepe Journal of Mathematics and Statistics. 2015;44(1):83-91.