Locally conformal parallel \(G_2\) and \(\operatorname{Spin}(7)\) manifolds
type: Item
instance of: scholarly article
title: Locally conformal parallel \(G_2\) and \(\operatorname{Spin}(7)\) manifolds
zbMATH Open document ID: 1118.53028
author: Stefan Ivanov
author: Maurizio Parton
author: Paolo Piccinni
published in: Mathematical Research Letters
publication date: 2007-02-15T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0509038
review text: The authors establish characterizations of compact locally conformal parallel \(G_2\), (respectively \(\text{Spin}(7)\)), manifolds as fiber bundles over \(S^1\) with compact-nearly Kähler (respectively compact nearly parallel \(G_2\) ) fiber. These are given by their Theorems A and B, and they also consider the more specific characterization when the local parallel structures are flat. Contents include: Introduction; Preliminaries; Structure of compact manifolds (which contains proofs' of Theorems A and B); and a Bibliography of thirty references.
Mathematics Subject Classification ID: 53C27
Mathematics Subject Classification ID: 53C10
Mathematics Subject Classification ID: 53C25
zbMATH DE Number: 5127159
zbMATH Keywords: locally conformal parallel structures
zbMATH Keywords: Kähler theory
zbMATH Keywords: spin-structures
reviewed by: Joseph D. Zund
MaRDI profile type: Publication
arXiv ID: math/0509038
OpenAlex ID: W2964233302
Wikidata QID: Q126125097
DOI: 10.4310/MRL.2006.V13.N2.A1
description: scientific article