Parallelism in \(K\)-contact geometry
type: Item
instance of: scholarly article
title: Parallelism in \(K\)-contact geometry
zbMATH Open document ID: 1262.53043
author: Philippe Rukimbira
published in: Journal of Geometry
publication date: 2013-01-03T00:00:00Z
review text: It is proved that on a \(K\)-contact manifold \(M\), there are no non-zero parallel differential \(p\)-forms for \(1\leqslant p\leqslant 2n\), where \(\dim M=2n+1\). This is a generalization of a result by \textit{D.\ E.\ Blair} and \textit{S.\ I.\ Goldberg} stating that compact Sasakian manifolds do not admit such forms [J. Differ. Geom. 1, 347--354 (1967; Zbl 0163.43902)].
reviewed by: Zbigniew Olszak
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 53D10
zbMATH DE Number: 6121643
zbMATH Keywords: parallel form
zbMATH Keywords: \(K\)-contact
zbMATH Keywords: Sasakian
MaRDI profile type: Publication
full work available at URL: s00022-012-0119-1
OpenAlex ID: W2054045739
cites work: Riemannian geometry of contact and symplectic manifolds
cites work: Topology of almost contact manifolds
cites work: A characterization of flat contact metric geometry
cites work: Q4006635
cites work: On harmonic tensors in compact Sasakian spaces
DOI: 10.1007/S00022-012-0119-1
description: scientific article; zbMATH DE number 6121643