Holomorphically planar conformal vector fields on contact metric manifolds
type: Item
instance of: scholarly article
title: Holomorphically planar conformal vector fields on contact metric manifolds
zbMATH Open document ID: 1240.53057
published in: Acta Mathematica Hungarica
publication date: 2011-02-25T00:00:00Z
review text: The author studies holomorphically planar conformal vector fields \(V\) denoted by HPCV on: (i) contact metric manifolds with pointwise constant \(\xi\)-sectional curvature (then \(M\) is either \(K\)-contact or \(V\) is homothetic), (ii) Einstein contact metric manifolds (then \(M\) is \(K\)-contact), (b) contact metric manifolds with parallel Ricci tensor (then \(M\) is either \(K\)-contact Einstein or is locally isometric to \(E^{n+1}\times S^n(4)\)).
reviewed by: Witold Mozgawa
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 53C21
zbMATH DE Number: 5857802
zbMATH Keywords: holomorphically planar conformal vector field (HPCV)
zbMATH Keywords: contact metric manifold
zbMATH Keywords: closed conformal vector field
author: Amalendu Ghosh
MaRDI profile type: Publication
full work available at URL: s10474-010-0030-x
OpenAlex ID: W2066425355
cites work: Riemannian geometry of contact and symplectic manifolds
cites work: Contact metric manifolds satisfying a nullity condition
cites work: Einstein manifolds and contact geometry
cites work: \(\eta\)-parallel contact metric spaces
cites work: Almost Hermitian manifolds admitting holomorphically planar conformal vector fields
cites work: Contact metric manifolds with \(\eta \)-parallel torsion tensor
cites work: Q4459724
cites work: Certain results on \(K\)-contact and \((k, \mu )\)-contact manifolds
DOI: 10.1007/S10474-010-0030-X
description: scientific article; zbMATH DE number 5857802