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http://dx.doi.org/10.4134/CKMS.c160073

ON LOCALLY 𝜙-CONFORMALLY SYMMETRIC ALMOST KENMOTSU MANIFOLDS WITH NULLITY DISTRIBUTIONS  

De, Uday Chand (Department of Pure Mathematics University of Calcutta)
Mandal, Krishanu (Department of Pure Mathematics University of Calcutta)
Publication Information
Communications of the Korean Mathematical Society / v.32, no.2, 2017 , pp. 401-416 More about this Journal
Abstract
The aim of this paper is to investigate locally ${\phi}-conformally$ symmetric almost Kenmotsu manifolds with its characteristic vector field ${\xi}$ belonging to some nullity distributions. Also, we give an example of a 5-dimensional almost Kenmotsu manifold such that ${\xi}$ belongs to the $(k,\;{\mu})^{\prime}$-nullity distribution and $h^{\prime}{\neq}0$.
Keywords
almost Kenmotsu manifold; locally ${\phi}-conformally$ symmetric; Einstein manifold; generalized nullity distribution; nullity distribution;
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