Stiefel manifolds as framed boundaries
type: Item
instance of: scholarly article
title: Stiefel manifolds as framed boundaries
zbMATH Open document ID: 0707.57018
author: Haruo Minami
published in: Osaka Journal of Mathematics
publication date: 1990-01-01T00:00:00Z
review text: This paper proves that the Stiefel manifolds \(V_{n,q}\) of orthogonal q- frames in \(F^ n\), \(F={\mathbb{R}}\), \({\mathbb{C}}\), or \({\mathbb{H}}\) (with \(q\leq n- 1\), n-1, or n) are framed boundaries. This result depends on the choice of framing; the framing used is the natural one, and thinking of \(V_{n,q}\) as a sphere bundle, the framing extends over the corresponding disc bundle.
Mathematics Subject Classification ID: 57R85
Mathematics Subject Classification ID: 57R15
zbMATH DE Number: 4161699
zbMATH Keywords: Stiefel manifolds
zbMATH Keywords: framed boundaries
zbMATH Keywords: sphere bundle
zbMATH Keywords: disc bundle
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4161699