Equivariant collaring, tubular neighbourhood and gluing theorems for proper Lie group actions

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.

PDF Access Denied

Warning: We have not been able to recognize your IP address 47.88.87.18 as that of a subscriber to this journal. Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form.

Or, visit our subscription page for instructions on purchasing a subscription. You may also contact us at contact@msp.org or by using our contact form.

Or, you may purchase this single article for USD 29.95:

Keywords

smooth, proper action, Lie group, collar, gluing

Mathematical Subject Classification 2000

Primary: 57S20

References

Publication

Received: 19 January 2006

Revised: 30 October 2006

Accepted: 4 December 2006

Published: 23 February 2007

Authors

Marja Kankaanrinta
Department of Mathematics PO Box 400137 University of Virginia Charlottesville VA 22904-4137 USA

Volume 7, issue 1 (2007)

Marja Kankaanrinta

Abstract