A note on the Boardman theorem
type: Item
instance of: scholarly article
title: A note on the Boardman theorem
zbMATH Open document ID: 0914.57020
DOI: 10.1155/S0161171298001136
author: Zhi Lü
author: Chunlian Zhou
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1999-06-15T00:00:00Z
full work available at URL: https://eudml.org/doc/48156
review text: Let \((T,M)\) be a smooth involution on a closed manifold with the fixed point set \(F\). A classical theorem of Boardman says that if \(5 \dim F < 2 \dim M\) then \((T,M)\) bounds as a manifold with involution. If \(2 \dim M \leq 5 \dim F\), the result does not necessarily hold. The paper under review considers the case in which \(2 \dim M \leq 5 \dim F\), and gives necessary and sufficient conditions for \((T,M)\) to bound. The conditions are given in terms of the fixed point data of \((T,M)\).
reviewed by: Katsuhiro Komiya
Mathematics Subject Classification ID: 57R85
zbMATH DE Number: 1230061
zbMATH Keywords: involution
zbMATH Keywords: fixed point set
zbMATH Keywords: projective space bundle
MaRDI profile type: Publication
OpenAlex ID: W1992908064
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description: scientific article; zbMATH DE number 1230061