Einstein-Weyl structure and contact geometry
type: Item
instance of: scholarly article
title: Einstein-Weyl structure and contact geometry
zbMATH Open document ID: 1502.53073
author: Amalendu Ghosh
published in: Results in Mathematics
publication date: 2022-02-03T00:00:00Z
review text: In the paper under review, the author studies Einstein-Weyl structure on \(K\)-contact and contact metric manifolds satisfying certain condition on the Weyl curvature tensor. Firstly it is proven that these structures are Einstein and Sasakian. Secondly, it is shown that a \((k, \mu)\)-contact manifold admitting a closed Einstein-Weyl structure is either locally isometric up to a \(D\)-homothetic transformation to the unit tangent bundle of certain space of constant curvature different from \(1\), or is compact Einstein and Sasakian.
reviewed by: Adrian Sandovici
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 53D10
zbMATH DE Number: 7468843
zbMATH Keywords: \((k \mu)\)-contact manifold
zbMATH Keywords: closed Einstein-Weyl structure
zbMATH Keywords: \(K\)-contact manifold
zbMATH Keywords: Sasakian manifold
MaRDI profile type: Publication
full work available at URL: s00025-021-01596-y
OpenAlex ID: W4206498542
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DOI: 10.1007/S00025-021-01596-Y
description: scientific article; zbMATH DE number 7468843