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 ℍ³(-1) or the Riemannian product ℍ²(-4)×ℝ.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap3555-12-2015,
author = {Yaning Wang},
title = {Three-dimensional locally symmetric almost Kenmotsu manifolds},
journal = {Annales Polonici Mathematici},
volume = {116},
year = {2016},
pages = {79-86},
zbl = {1337.53041},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap3555-12-2015}
}
Yaning Wang. Three-dimensional locally symmetric almost Kenmotsu manifolds. Annales Polonici Mathematici, Tome 116 (2016) pp. 79-86. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap3555-12-2015/