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Commun. Korean Math. Soc. 2018; 33(1): 261-272
Online first article October 13, 2017 Printed January 31, 2018
https://doi.org/10.4134/CKMS.c170083
Copyright © The Korean Mathematical Society.
Certain results on almost Kenmotsu manifolds with conformal Reeb foliation
Gopal Ghosh, Pradip Majhi
University of Calcutta, University of Calcutta
The object of the present paper is to study some curvature properties of almost Kenmotsu manifolds with conformal Reeb foliation. Among others it is proved that an almost Kenmotsu manifold with conformal Reeb foliation is Ricci semisymmetric if and only if it is an Einstein manifold. Finally, we study Yamabe soliton in this manifold.
Keywords: almost Kenmotsu manifold, Reeb foliation, Ricci-generalized pseudosymmetric almost Kenmotsu manifold, Ricci semisymmetric almost Kenmotsu manifolds, infinitesimal strict contact transformation, Yamabe soliton
MSC numbers: Primary 53C15, 53C25
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