Conformally flat contact metric manifolds with \(Q\xi=\varrho\xi\)
type: Item
instance of: scholarly article
title: Conformally flat contact metric manifolds with \(Q\xi=\varrho\xi\)
zbMATH Open document ID: 1067.53013
author: Niki Tsolakidou
author: Florence Gouli-Andreou
published in: Beiträge zur Algebra und Geometrie
publication date: 2004-09-01T00:00:00Z
full work available at URL: https://eudml.org/doc/231321
full work available at URL: 10.html
review text: The authors study conformally flat contact metric manifolds whose characteristic vector field is an eigenfield of the Ricci tensor. The main result of the paper is the following classification theorem: Let a Riemannian manifold \((M^{2n+1}, g)\), \(n> 1\), be a conformally flat contact metric manifold whose characteristic vector field is an eigenvector of the Ricci operator \(Q\) at every point. Then \((M^{2n+1}, g)\) is of constant sectional curvature.
reviewed by: Włodzimierz Jelonek
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 53C25
zbMATH DE Number: 2096234
zbMATH Keywords: conformally flat manifold
zbMATH Keywords: contact metric manifold
zbMATH Keywords: Ricci tensor
zbMATH Keywords: characteristic vector field
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2096234