Almost Kenmotsu manifolds with constant Reeb or $\phi$-sectional curvatures

Yaning Wang, Pei Wang


In this paper, we prove that an almost Kenmotsu manifold M has constant Reeb sectional curvatures if and only if M has conformal Reeb foliation. On an almost Kenmotsu h-a-manifold of dimension three having constant \phi-sectional curvature, the Reeb vector field is an eigenvector field of the Ricci operator if and only if the manifold is locally isometric to a non-unimodular Lie group.


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