A class of locally conformal almost cosymplectic manifolds
type: Item
instance of: scholarly article
title: A class of locally conformal almost cosymplectic manifolds
zbMATH Open document ID: 1394.53084
author: Fortuné Massamba
author: Ange Maloko Mavambou
published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series
publication date: 2018-04-25T00:00:00Z
review text: In this paper, the authors consider a class of almost contact metric manifolds called locally conformal almost cosymplectic manifolds. They prove several results linking the parallelism of the Chern-Hamilton tensor and the property of the characteristic vector field to be Killing. This last condition \(({\mathcal{L}}_\xi g=0)\) implies that the manifold is almost cosymplectic. Then, the authors are interested in the case when the closed 1-form \(\omega\) (appearing in the locally conformal structure) and the 1-form \(\eta\) are proportional. Later on, they consider a foliation on a locally conformal almost cosymplectic manifold of codimension 1 and study when the metric is bundle-like for the foliation. Under some conditions, the foliation of the contact distribution has (almost) Kählerian leaves. Some examples are given.
reviewed by: Marian Ioan Munteanu
Mathematics Subject Classification ID: 53D15
Mathematics Subject Classification ID: 53C15
zbMATH DE Number: 6864642
zbMATH Keywords: almost contact manifold
zbMATH Keywords: cosymplectic manifold
zbMATH Keywords: almost cosymplectic manifold
MaRDI profile type: Publication
full work available at URL: s40840-016-0309-3
OpenAlex ID: W2268528260
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Wikidata QID: Q125778842
DOI: 10.1007/S40840-016-0309-3
description: scientific article; zbMATH DE number 6864642