Stability of compact actions of \(\mathbb{R}^ n\) of codimension one
type: Item
instance of: scholarly article
title: Stability of compact actions of \(\mathbb{R}^ n\) of codimension one
zbMATH Open document ID: 0841.57038
DOI: 10.1007/BF02564496
author: Nicolau C. Saldanha
published in: Commentarii Mathematici Helvetici
publication date: 1996-07-14T00:00:00Z
full work available at URL: https://eudml.org/doc/140347
review text: Summary: We study the \(C^r\) stability of locally free compact actions of \(\mathbb{R}^n\) with compact orbits over manifolds of dimension \(n + 1\). More precisely, we show that in many cases a \(C^1\) perturbation of an action with all orbits compact must also have all orbits compact and a \(C^0\) perturbation usually has many compact orbits.
Mathematics Subject Classification ID: 57R25
Mathematics Subject Classification ID: 37C75
Mathematics Subject Classification ID: 57S20
zbMATH DE Number: 718590
zbMATH Keywords: stability
zbMATH Keywords: locally free compact actions
zbMATH Keywords: perturbation
MaRDI profile type: Publication
OpenAlex ID: W2017041662
description: scientific article; zbMATH DE number 718590