Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

HOME ALL ARTICLES View

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.

Locally symmetric almost coK\"{a}hler 5-manifolds with K\"{a}hlerian leaves

Yaning Wang

Henan Normal University

Abstract

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

Stats or Metrics

Share this article on :

Related articles in BKMS

more +