An Einstein-like Metric on Almost Kenmotsu Manifolds

作者：Wang, Yaning^*; Wang, Wenjie

来源：Filomat, 2017, 31(15): 4695-4702.

DOI：10.2298/FIL1715695W

• Almost Kenmotsu manifold
• (k, mu)'-nullity condition
• Miao-Tam critical condition
• Einstein-like metric

In this paper, we prove that if the metric of a three-dimensional (k, mu)'-almost Kenmotsu manifold satisfies the Miao-Tam critical condition, then the manifold is locally isometric to the hyperbolic space H-3(-1). Moreover, we prove that if the metric of an almost Kenmotsu manifold with conformal Reeb foliation satisfies the Miao-Tam critical condition, then the manifold is either of constant scalar curvature or Einstein. Some corollaries of main results are also given.

• 出版日期2017
• 单位河南师范大学