Characteristic classes of vector bundles over \(\mathbb R\mathbb P(h)\times \mathbb H\mathbb P(k)\)
type: Item
instance of: scholarly article
title: Characteristic classes of vector bundles over \(\mathbb R\mathbb P(h)\times \mathbb H\mathbb P(k)\)
zbMATH Open document ID: 1122.57020
author: Jingyan Li
author: Yanying Wang
published in: Topology and its Applications
publication date: 2007-05-10T00:00:00Z
review text: The authors give an explicit formula for the total Stiefel-Whitney classes of vector bundles over the spaces \({\mathbb R}{\mathbb P}^h\times {\mathbb H}{\mathbb P}^k\). As a corollary, they prove that there are no non-bounding involutions of \({\mathbb R}{\mathbb P}^h\times {\mathbb H}{\mathbb P}^k\) that fix \({\mathbb R}{\mathbb P}^{2n+1}\times {\mathbb H}{\mathbb P}^k\).
reviewed by: Yuli Rudyak
Mathematics Subject Classification ID: 57S17
Mathematics Subject Classification ID: 55N22
Mathematics Subject Classification ID: 55R40
Mathematics Subject Classification ID: 55R50
Mathematics Subject Classification ID: 57R85
zbMATH DE Number: 5151664
zbMATH Keywords: Stiefel-Whitney classes
zbMATH Keywords: involution
zbMATH Keywords: fixed points
zbMATH Keywords: vector bundles
MaRDI profile type: Publication
full work available at URL: j.topol.2007.01.009
OpenAlex ID: W1967462443
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DOI: 10.1016/J.TOPOL.2007.01.009
description: scientific article; zbMATH DE number 5151664