Conformal vector fields on almost co-Kähler manifolds
type: Item
instance of: scholarly article
title: Conformal vector fields on almost co-Kähler manifolds
zbMATH Open document ID: 1485.53087
author: Uday Chand De
author: Young Jin Suh
author: S. K. Chaubey
published in: Mathematica Slovaca
publication date: 2022-01-11T00:00:00Z
review text: In this paper, the authors characterize almost co-Kähler manifolds with a conformal vector field. One of the main results is that if an almost co-Kähler manifold has a conformal vector field that is collinear with the Reeb vector field, then the manifold is a \(K\)-almost co-Kähler manifold. The other main result is that if a \((\kappa,\mu)\)-almost co-Kähler manifold admits a Killing vector field \(V\), then either the manifold is \(K\)-almost co-Kähler or the vector field \(V\) is an infinitesimal strict contact transformation, provided that the \((1,1)\) tensor \(h\) remains invariant under the Killing vector field.
reviewed by: Hang Chen
Mathematics Subject Classification ID: 53C55
zbMATH DE Number: 7455227
zbMATH Keywords: \((\kappa,\mu)\)-almost co-Kähler manifolds
zbMATH Keywords: \(K\)-almost co-Kähler manifolds
zbMATH Keywords: conformal vector field
MaRDI profile type: Publication
full work available at URL: ms-2021-0070
OpenAlex ID: W4200383497
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DOI: 10.1515/MS-2021-0070
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