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http://dx.doi.org/10.4134/CKMS.c170083

CERTAIN RESULTS ON ALMOST KENMOTSU MANIFOLDS WITH CONFORMAL REEB FOLIATION  

Ghosh, Gopal (Department of Pure Mathematics University of Calcutta)
Majhi, Pradip (Department of Pure Mathematics University of Calcutta)
Publication Information
Communications of the Korean Mathematical Society / v.33, no.1, 2018 , pp. 261-272 More about this Journal
Abstract
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;
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