Complex structures in real vector bundles over 8-manifolds
type: Item
instance of: scholarly article
title: Complex structures in real vector bundles over 8-manifolds
zbMATH Open document ID: 1400.57024
author: Huijun Yang
published in: Manuscripta Mathematica
publication date: 2018-10-01T00:00:00Z
review text: The author considers 8-dimensional vector bundles over closed 8-dimensional manifolds and gives necessary and sufficient conditions for such a vector bundle to admit a complex structure. The conditions are given in terms of the characteristic classes of the vector bundle. The conditions are determined first for the stable version of the bundle and then compressed to the 8-dimensional case.
Mathematics Subject Classification ID: 57R22
Mathematics Subject Classification ID: 55R25
Mathematics Subject Classification ID: 19L10
zbMATH DE Number: 6945640
zbMATH Keywords: characteristic class
zbMATH Keywords: Bockstein homomorphism
zbMATH Keywords: Steenrod square
reviewed by: Jonathan Hodgson
MaRDI profile type: Publication
full work available at URL: s00229-017-0995-7
OpenAlex ID: W2781665776
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DOI: 10.1007/S00229-017-0995-7
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description: scientific article; zbMATH DE number 6945640