\(\text{Spin}(7)\)-structures in principal fibre bundles over Riemannian manifolds with \(G_ 2\)-structure
type: Item
instance of: scholarly article
title: \(\text{Spin}(7)\)-structures in principal fibre bundles over Riemannian manifolds with \(G_ 2\)-structure
zbMATH Open document ID: 0831.53019
DOI: 10.1007/BF02850834
author: Francisco M. Cabrera
publication date: 1996-02-12T00:00:00Z
review text: The author considers a manifold \(M\) with a \(G_2\)-structure and a principal fibre bundle with one-dimensional structure group over \(M\). He defines two Spin(7)-structures on the total bundle space \(M\) and he finds relations between the class of the Spin(7)-structure on \(\overline M\) and the class of the \(G_2\)-structure on \(M\). Using these results he produces examples of Spin(7)-structures.
Mathematics Subject Classification ID: 53C10
Mathematics Subject Classification ID: 53C21
Mathematics Subject Classification ID: 55R10
zbMATH DE Number: 792941
zbMATH Keywords: spin structure
zbMATH Keywords: \(G\)-structure
zbMATH Keywords: examples
Wikidata QID: Q115391413
reviewed by: Florence Gouli-Andreou
MaRDI profile type: Publication
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published in: Rendiconti del Circolo Matematico di Palermo
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description: scientific article; zbMATH DE number 792941