On the concircular curvature of a \((\kappa,\mu,\nu)\)-manifold
type: Item
instance of: scholarly article
title: On the concircular curvature of a \((\kappa,\mu,\nu)\)-manifold
zbMATH Open document ID: 1312.53052
author: Florence Gouli-Andreou
author: Evaggelia Moutafi
published in: Pacific Journal of Mathematics
publication date: 2014-12-30T00:00:00Z
review text: In the present paper, \((\kappa,\mu,\nu)\)-contact metric 3-manifolds with certain conditions such as Ricci flat, or Einstein but not Sasakian or \(\triangledown Z=0\), where \(Z\) is the concircular curvature tensor, \(Z(\xi. X). Z=0\), where \(Z\) acts as a derivation on \(Z\) are investigated. The results are new and provide a valuable contribution to the field of contact geometry.
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 53D10
Mathematics Subject Classification ID: 53C35
zbMATH DE Number: 6382632
zbMATH Keywords: contact metric manifold
zbMATH Keywords: \((\kappa,\mu,\nu)\)-contact metric manifolds
zbMATH Keywords: \(\eta\)-Einstein
zbMATH Keywords: Ricci flat
zbMATH Keywords: Sasakian manifold
zbMATH Keywords: concircular curvature tensor
zbMATH Keywords: pseudosymmetric manifold
MaRDI profile type: Publication
full work available at URL: pjm.2014.269.113
OpenAlex ID: W2090945747
Wikidata QID: Q125811963
DOI: 10.2140/PJM.2014.269.113
description: scientific article; zbMATH DE number 6382632