In this paper we give a complete classification of simply connected homogeneous almost α-Kenmotsu three-manifolds M whose Ricci operator is invariant along the Reeb flow. We get this classification by using the Gaussian and the extrinsic curvature associated with the canonical foliation of M.

中文翻译：

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具有Reeb流动对称性的几乎接触黎曼三流形

在本文中，我们给出了简单连接的几乎均一的α -Kenmotsu三流形M的完整分类，其Ricci算符沿Reeb流不变。我们通过使用高斯和与M的规范叶相关的外在曲率来进行分类。