Minimal Reeb vector fields on almost Kenmotsu manifolds

作者：Wang, Yaning^*

来源：Czechoslovak Mathematical Journal, 2017, 67(1): 73-86.

DOI：10.21136/CMJ.2017.0377-15

• almost Kenmotsu manifold
• Reeb vector field
• minimal vector field
• harmonic vector field
• Lie group

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, v)-almost Kenmotsu manifolds. Also, we give some characterizations of the minimality of the Reeb vector fields of (k, mu, v)-almost Kenmotsu manifolds. In addition, we prove that the Reeb vector field of an almost Kenmotsu manifold with conformal Reeb foliation is minimal.

• 出版日期2017-3
• 单位河南师范大学