Stability of the Reeb vector field of \(H\)-contact manifolds
type: Item
instance of: scholarly article
title: Stability of the Reeb vector field of \(H\)-contact manifolds
zbMATH Open document ID: 1173.53015
published in: Mathematische Zeitschrift
publication date: 2009-08-27T00:00:00Z
review text: \(H\)-contact manifolds are contact metric manifolds on which the Reeb (characteristic) vector field is harmonic. Particular examples are Sasakian (more generally \(K\)-contact) and (generalized) \((k,\mu)\) manifolds. The results of this paper concern the stability of the Reeb field of a \(H\)-contact manifold of dimension 3, with respect to the energy functional, expressed in terms of the Webster scalar curvature. The proofs are technical, with all details clearly explained.
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 53D10
zbMATH DE Number: 5598909
zbMATH Keywords: energy and volume
zbMATH Keywords: Reeb vector field
zbMATH Keywords: stability
zbMATH Keywords: Webster scalar curvature
zbMATH Keywords: \(K\)-contact
author: Domenico Perrone
reviewed by: Liviu Ornea
MaRDI profile type: Publication
full work available at URL: s00209-008-0413-7
OpenAlex ID: W2020302147
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DOI: 10.1007/S00209-008-0413-7
description: scientific article; zbMATH DE number 5598909