Geodesic
Minimal Reeb vector fields on almost Kenmotsu manifolds
Czechoslovak Mathematical Journal, Tome 67 (2017) no. 1, pp. 73-86 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.21136/CMJ.2017.0377-15
Classification : 53C25, 53C43, 53D15
Keywords: almost Kenmotsu manifold; Reeb vector field; minimal vector field; harmonic vector field; Lie group 
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Wang, Yaning. Minimal Reeb vector fields on almost Kenmotsu manifolds. Czechoslovak Mathematical Journal, Tome 67 (2017) no. 1, pp. 73-86. doi: 10.21136/CMJ.2017.0377-15

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