On weakly para-cosymplectic manifolds of dimension 3
type: Item
instance of: scholarly article
title: On weakly para-cosymplectic manifolds of dimension 3
zbMATH Open document ID: 1123.53015
author: Piotr Dacko
author: Zbigniew Olszak
published in: Journal of Geometry and Physics
publication date: 2007-02-13T00:00:00Z
review text: A weakly para-cosymplectic manifold is an almost Sasakian manifold \((M,g,\varphi,\xi,\eta)\) such that the 1-form \(\eta\) and the fundamental 2-form \(\Phi\) are closed and that the Riemannian curvature of \(g\) commutes in a sense with \(\varphi\). The authors analyze the 3-dimensional case and classify the locally homogeneous manifolds under consideration.
reviewed by: Rainer Schimming
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 53C30
Mathematics Subject Classification ID: 53C50
zbMATH DE Number: 5125068
zbMATH Keywords: (nearly) para-cosymplectic manifold
zbMATH Keywords: locally homogeneous pseudo-Riemannian manifold
MaRDI profile type: Publication
full work available at URL: j.geomphys.2006.05.001
OpenAlex ID: W1967191680
cites work: Almost contact manifolds with Killing structure tensors
cites work: A survey on paracomplex geometry
cites work: On almost para-cosymplectic manifolds
cites work: Q4781472
cites work: Q3129425
cites work: Integrability of almost cosymplectic structures
cites work: On almost cosymplectic manifolds
DOI: 10.1016/J.GEOMPHYS.2006.05.001
description: scientific article; zbMATH DE number 5125068