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Article

Wang, Yaning
Minimal Reeb vector fields on almost Kenmotsu manifolds. (English). Czechoslovak Mathematical Journal, vol. 67 (2017), issue 1, pp. 73-86
MSC: 53C25, 53C43, 53D15 | MR 3632999 | Zbl 06738505 | DOI: 10.21136/CMJ.2017.0377-15
Keywords:
almost Kenmotsu manifold; Reeb vector field; minimal vector field; harmonic vector field; Lie group
Summary:
A necessary and sufficient condition for the Reeb vector field of a three dimensional non-Kenmotsu almost Kenmotsu manifold to be minimal is obtained. Using this result, we obtain some classifications of some types of $(k,\mu ,\nu )$-almost Kenmotsu manifolds. Also, we give some characterizations of the minimality of the Reeb vector fields of $(k,\mu ,\nu )$-almost Kenmotsu manifolds. In addition, we prove that the Reeb vector field of an almost Kenmotsu manifold with conformal Reeb foliation is minimal.
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