Pursell-Shanks type theorem for orbit spaces of G-manifolds
type: Item
instance of: scholarly article
title: Pursell-Shanks type theorem for orbit spaces of G-manifolds
zbMATH Open document ID: 0519.57033
author: Kōjun Abe
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1982-01-01T00:00:00Z
Mathematics Subject Classification ID: 57S15
Mathematics Subject Classification ID: 57R25
Mathematics Subject Classification ID: 17B65
Mathematics Subject Classification ID: 57R50
Mathematics Subject Classification ID: 58D05
Mathematics Subject Classification ID: 22E65
zbMATH DE Number: 3822734
zbMATH Keywords: Pursell-Shanks theorem for orbit spaces of G-manifolds
zbMATH Keywords: Lie algebra isomorphism between Lie algebras of all vector fields with compact support on paracompact connected manifolds
zbMATH Keywords: diffeomorphism
zbMATH Keywords: smooth structure of the orbit space
zbMATH Keywords: Lie algebra of smooth vector fields on the orbit space
zbMATH Keywords: stratification of orbit space
zbMATH Keywords: strata preserving vector fields
zbMATH Keywords: strata preserving diffeomorphism
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195183575
OpenAlex ID: W2091454998
cites work: Lie algebra of vector fields and complex structure
cites work: Lifting isotopies from orbit spaces
cites work: Smooth G-manifolds as collections of fiber bundles
cites work: Pursell-Shanks type theorem for free G-manifolds
cites work: On Lie algebras of vector fields with invariant submanifolds
cites work: Infinite dimensional Lie transformation groups
cites work: The Lie Algebra of a Smooth Manifold
cites work: Smooth functions invariant under the action of a compact Lie group
cites work: Covering smooth homotopies of orbit spaces
cites work: Lifting smooth homotopies of orbit spaces
cites work: Local Contractions and a Theorem of Poincare
DOI: 10.2977/PRIMS/1195183575
description: scientific article; zbMATH DE number 3822734