The vector field problem: A survey with emphasis on specific manifolds
type: Item
instance of: scholarly article
title: The vector field problem: A survey with emphasis on specific manifolds
zbMATH Open document ID: 0823.57001
author: P. Zvengrowski
author: Július Korbaš
published in: Expositiones Mathematicae
publication date: 1995-10-30T00:00:00Z
review text: This expository paper is concerned with the span of smooth closed manifolds (i.e. the maximum number of linearly independent vector fields) and with the corresponding notion of stable span. After a brief survey of older general results and methods the authors concentrate on (oriented) flag manifolds (which comprise e.g. (oriented) Grassmannians and, in particular, spheres and projective spaces) and on projective Stiefel manifolds. They give numerous upper and lower bounds and in some cases precise calculations for the span and the stable span of these specific manifolds.
Mathematics Subject Classification ID: 57-02
Mathematics Subject Classification ID: 55S40
Mathematics Subject Classification ID: 57R25
Mathematics Subject Classification ID: 55R25
zbMATH DE Number: 563272
zbMATH Keywords: span of smooth closed manifolds
zbMATH Keywords: stable span
zbMATH Keywords: flag manifolds
zbMATH Keywords: projective Stiefel manifolds
reviewed by: Ulrich Koschorke
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 563272