EMIS ELibM Electronic Journals Journal of Lie Theory
Vol. 15, No. 2, pp. 447–456 (2005)

Previous Article

Next Article

Contents of this Issue

Other Issues

ELibM Journals

ELibM Home


Pick a mirror


Lifting Smooth Homotopies of Orbit Spaces of proper Lie group actions

Marja Kankaanrinta

Marja Kankaanrinta
Department of Mathematics
University of Virginia
Charlottesville, VA 22904-4137 USA

Abstract: By a result of G. W. Schwarz, a smooth version of R. S. Palais' covering homotopy theorem holds for actions of compact Lie groups. This paper extends the result of Schwarz to the case of proper actions of non-compact Lie groups. An isotopy lifting theorem is obtained as a corollary. \endgraf { \eightsl

Keywords: smooth, homotopy, proper, Lie group and slice

Classification (MSC2000): 57S20

Full text of the article: (for faster download, first choose a mirror)

Electronic fulltext finalized on: 20 May 2010. This page was last modified: 4 Jun 2010.

© 2010 Heldermann Verlag
© 2010 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition