Affiliation:
1. Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control School of Mathematics and Information Sciences Henan Normal University Xinxiang, Henan, P.R. China
Abstract
In this paper, we prove that if the metric of a three-dimensional
(k,?)'-almost Kenmotsu manifold satisfies the Miao-Tam critical condition,
then the manifold is locally isometric to the hyperbolic space H3(-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.
Publisher
National Library of Serbia
Cited by
13 articles.
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