Trans-Sasakian 3-manifolds with Reeb flow invariant Ricci operator
type: Item
instance of: scholarly article
title: Trans-Sasakian 3-manifolds with Reeb flow invariant Ricci operator
zbMATH Open document ID: 1404.53063
author: Yan Zhao
author: Wenjie Wang
author: Ximin Liu
published in: Mathematics
publication date: 2018-12-18T00:00:00Z
review text: Summary: Let \(M\) be a three-dimensional trans-Sasakian manifold of type \((\alpha, \beta)\). In this paper, we obtain that the Ricci operator of \(M\) is invariant along Reeb flow if and only if \(M\) is an \(\alpha\)-Sasakian manifold, cosymplectic manifold or a space of constant sectional curvature. Applying this, we give a new characterization of proper trans-Sasakian 3-manifolds.
Mathematics Subject Classification ID: 53C25
zbMATH DE Number: 6994849
zbMATH Keywords: trans-Sasakian 3-manifold
zbMATH Keywords: Reeb flow symmetry
zbMATH Keywords: Ricci operator
MaRDI profile type: Publication
full work available at URL: math6110246
OpenAlex ID: W2899874176
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Wikidata QID: Q128962724
DOI: 10.3390/MATH6110246
description: scientific article; zbMATH DE number 6994849