EN
Non existence of totally contact umbilical GCR-lightlike submanifolds of indefinite Kenmotsu manifolds
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
References
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Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
February 1, 2015
Submission Date
March 16, 2012
Acceptance Date
December 13, 2013
Published in Issue
Year 2015 Volume: 44 Number: 1
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. https://izlik.org/JA52LZ49WU
AMA
1.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. https://izlik.org/JA52LZ49WU
Chicago
Jain, Varun, Rakesh Kumar, and Rakesh Kumar Nagaich. 2015. “Non Existence of Totally Contact Umbilical GCR-Lightlike Submanifolds of Indefinite Kenmotsu Manifolds”. Hacettepe Journal of Mathematics and Statistics 44 (1): 83-91. https://izlik.org/JA52LZ49WU.
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
[1]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, Feb. 2015, [Online]. Available: https://izlik.org/JA52LZ49WU
ISNAD
Jain, Varun - Kumar, Rakesh - Kumar Nagaich, Rakesh. “Non Existence of Totally Contact Umbilical GCR-Lightlike Submanifolds of Indefinite Kenmotsu Manifolds”. Hacettepe Journal of Mathematics and Statistics 44/1 (February 1, 2015): 83-91. https://izlik.org/JA52LZ49WU.
JAMA
1.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, Feb. 2015, pp. 83-91, https://izlik.org/JA52LZ49WU.
Vancouver
1.Varun Jain, Rakesh Kumar, Rakesh Kumar Nagaich. Non existence of totally contact umbilical GCR-lightlike submanifolds of indefinite Kenmotsu manifolds. Hacettepe Journal of Mathematics and Statistics [Internet]. 2015 Feb. 1;44(1):83-91. Available from: https://izlik.org/JA52LZ49WU