Three-dimensional locally symmetric almost Kenmotsu manifolds
Volume 116 / 2016
Annales Polonici Mathematici 116 (2016), 79-86
MSC: Primary 53D15; Secondary 53C25, 53C35.
DOI: 10.4064/ap3555-12-2015
Published online: 2 December 2015
Abstract
We prove that a three-dimensional almost Kenmotsu manifold is locally symmetric if and only if it is locally isometric to either the hyperbolic space $\mathbb {H}^3(-1)$ or the Riemannian product $\mathbb {H}^2(-4)\times \mathbb {R}$.
