The cohomology rings of real Stiefel manifolds with integer coefficients
type: Item
instance of: scholarly article
title: The cohomology rings of real Stiefel manifolds with integer coefficients
zbMATH Open document ID: 1061.55015
author: Martin Čadek
author: Mamoru Mimura
author: Jiří Vanžura
published in: Journal of Mathematics of Kyoto University
publication date: 2004-12-29T00:00:00Z
review text: This paper determines the ring structure of the integral cohomology \(H^{*}(V_{n,k};{\mathbb Z})\) of the Stiefel manifold of \(k\)-planes in \(n\)-space. The methods, which use induction and the Gysin sequence, are independent of those of \textit{H. V. Pittie} [J. Pure Appl. Algebra 73, No. 2, 105--153 (1991; Zbl 0736.57019)].
Mathematics Subject Classification ID: 55T10
Mathematics Subject Classification ID: 57R40
zbMATH DE Number: 2124043
zbMATH Keywords: Gysin sequence
zbMATH Keywords: sphere bundle
zbMATH Keywords: Stiefel manifold
reviewed by: Jonathan Hodgson
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1215/kjm/1250283733
OpenAlex ID: W1765783219
DOI: 10.1215/KJM/1250283733
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description: scientific article; zbMATH DE number 2124043