Bull. Korean Math. Soc. 2018; 55(3): 789-798
Online first article February 27, 2018 Printed May 31, 2018
https://doi.org/10.4134/BKMS.b170255
Copyright © The Korean Mathematical Society.
Yaning Wang
Henan Normal University
Let $M$ be a compact almost coK\"{a}hler $5$-manifold with K\"{a}hler\-ian leaves. In this paper, we prove that $M$ is locally symmetric if and only if it is locally isometric to a Riemannian product of a unit circle $S^1$ and a locally symmetric compact K\"{a}hler $4$-manifold.
Keywords: almost coK\"{a}hler $5$-manifold, local symmetry
MSC numbers: Primary 53D15; Secondary 53C25
2019; 56(5): 1219-1233
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd