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2007 Equivariant collaring, tubular neighbourhood and gluing theorems for proper Lie group actions
Marja Kankaanrinta
Algebr. Geom. Topol. 7(1): 1-27 (2007). DOI: 10.2140/agt.2007.7.1

Abstract

The purpose of this paper is to prove equivariant versions of some basic theorems in differential topology for proper Lie group actions. In particular, we study how to extend equivariant isotopies and then apply these results to obtain equivariant smoothing and gluing theorems. We also study equivariant collars and tubular neighbourhoods. When possible, we follow the ideas in the well-known book of M W Hirsch. When necessary, we use results from the differential topology of Hilbert spaces.

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Marja Kankaanrinta. "Equivariant collaring, tubular neighbourhood and gluing theorems for proper Lie group actions." Algebr. Geom. Topol. 7 (1) 1 - 27, 2007. https://doi.org/10.2140/agt.2007.7.1

Information

Received: 19 January 2006; Revised: 30 October 2006; Accepted: 4 December 2006; Published: 2007
First available in Project Euclid: 20 December 2017

zbMATH: 1181.57037
MathSciNet: MR2289802
Digital Object Identifier: 10.2140/agt.2007.7.1

Subjects:
Primary: 57S20

Rights: Copyright © 2007 Mathematical Sciences Publishers

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