Three classes of pseudosymmetric contact metric 3-manifolds
type: Item
instance of: scholarly article
title: Three classes of pseudosymmetric contact metric 3-manifolds
zbMATH Open document ID: 1186.53043
author: Florence Gouli-Andreou
author: Evaggelia Moutafi
published in: Pacific Journal of Mathematics
publication date: 2010-02-23T00:00:00Z
review text: Semisymmetric Riemannian manifolds are generalizations of locally symmetric spaces. This article studies three-dimensional pseudosymmetric contact metric manifolds. The authors obtain necessary conditions for a three dimensional contact metric manifold to be pseudosymmetric. By using them the authors determine pseudo symmetric manifolds \(M\) satisfying \(Q\xi= \rho \xi\), \(\rho\) a smooth function on \(M\), those of constant type or whose curvature satisfies the \((\kappa,\mu, \nu)\)-condition.
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 53D10
Mathematics Subject Classification ID: 53C35
zbMATH DE Number: 5673980
zbMATH Keywords: pseudosymmetric manifolds
zbMATH Keywords: contact metric 3-manifolds
reviewed by: Gabriela Paola Ovando
MaRDI profile type: Publication
full work available at URL: pjm.2010.245.57
OpenAlex ID: W2019805693
DOI: 10.2140/PJM.2010.245.57
description: scientific article; zbMATH DE number 5673980