On almost Kenmotsu manifolds with nullity distributions

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Published: Sep 30, 2017
DOI: https://doi.org/10.5556/j.tkjm.48.2017.2272
Keywords:
Almost Kenmotsu manifolds nullity distribution Weyl projective curvature tensor Einstein manifold

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Uday Chand De
Jae Bok Jun
Krishanu Mandal

Abstract

The object of this paper is to characterize the curvature conditions $R\cdot P=0$ and $P\cdot S=0$ with its characteristic vector field $\xi$ belonging to the $(k,\mu)'$-nullity distribution and $(k,\mu)$-nullity distribution respectively, where $P$ is the Weyl projective curvature tensor. As a consequence of the main results we obtain several corollaries.

Article Details

How to Cite
De, U. C., Jun, J. B., & Mandal, K. (2017). On almost Kenmotsu manifolds with nullity distributions. Tamkang Journal of Mathematics, 48(3), 251–262. https://doi.org/10.5556/j.tkjm.48.2017.2272
Issue
Vol. 48 No. 3 (2017)
Section
Papers
Author Biographies

Uday Chand De

Department of PureMathematics, University of Calcutta, 35, Ballygunge Circular Road, Kol- 700019, West Bengal, INDIA.

Jae Bok Jun

Department ofMathematics, College of Natural Science, Kookmin University, Seoul 136-702, KOREA.

Krishanu Mandal

Department of PureMathematics, University of Calcutta, 35, Ballygunge Circular Road, Kol- 700019, West Bengal, INDIA.

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