Examples of deformations of nearly parallel \(G_2\) structures on 7-dimensional 3-Sasakian manifolds by characteristic vector fields
type: Item
instance of: scholarly article
zbMATH Open document ID: 1314.53084
author: Nýlüfer Özdemír
author: Şýrýn Aktay
publication date: 2014-11-05T00:00:00Z
full work available at URL: ozdemir-2014-7-2-4.pdf
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 53C10
zbMATH DE Number: 6366149
zbMATH Keywords: \(G_{2}\) structure
zbMATH Keywords: \(3\)-Sasakian manifold
MaRDI profile type: Publication
title: Examples of deformations of nearly parallel \(G_2\) structures on 7-dimensional 3-Sasakian manifolds by characteristic vector fields
published in: International Electronic Journal of Geometry
review text: The authors consider \(\varphi _{1},\varphi _{2}\) and \(\varphi _{3}\) of nearly parallel \(G_{2}\) structures on a \(7\)-dimensional \(3\)-Sasakian manifold defined in [\textit{I. Agricola} and \textit{T. Friedrich}, J. Geom. Phys. 60, No. 2, 326--332 (2010; Zbl 1188.53041)]. They deform \(\varphi _{1},\varphi _{2}\) and \(\varphi _{3}\) by characteristic vector fields \(\xi _{1},\xi _{2}\) and \(\xi _{3}\). Then they obtain new \(G_{2}\) structures.
reviewed by: Cihan Özgür
description: scientific article; zbMATH DE number 6366149