Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-09T14:31:49.904Z Has data issue: false hasContentIssue false
  • English
  • Français

On the structure of a class of equivariant maps

Published online by Cambridge University Press:  17 April 2009

M.J. Field
M.J. Field
Affiliation:
Department of Pure Mathematics, University of Sydney, Sydney, New South Wales 2006, Australia.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let G be a compact Lie group and M be a compact G-manifold. We investigate the class of equivariant diffeomorphisms of M covering the identity map on the orbit space M/G.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 26 , Issue 2 , October 1982 , pp. 161 - 180
Copyright
Copyright © Australian Mathematical Society 1982

References

[1]Bishop, Richard L. and Crittenden, Richard J., Geometry of manifolds (Pure and Applied Mathematics, 15. Academic Press, New York and London, 1964).Google Scholar
[2]Bredon, Glen E., Introduction to compact transformation groups (Pure and Applied Mathematics, 46. Academic Press, New York and London, 1972).Google Scholar
[3]Field, Mike, “Equivariant dynamical systems”, Bull. Amer. Math. Soc. 76 (1970), 1314–1318.CrossRefGoogle Scholar
[4]Field, M.J., “Resolving actions of compact Lie groups”, Bull. Austral. Math. Soc. 18 (1978), 243–254.CrossRefGoogle Scholar
[5]Field, M.J., “Equivariant dynamical systems”, Trans. Amer. Math. Soc. 259 (1980), 185–205.CrossRefGoogle Scholar
[6]Field, M.J., “Isotopy and stability of equivariant diffeomorphisms”, Proc. London Math. Soc. (to appear).Google Scholar
[7]Palais, Richard S., “The principle of symmetric criticality”, Comm. Math. Phys. 69 (1979), 19–30.Google Scholar
[8]Schwarz, Gerald W., “Smooth functions invariant under the action of a compact Lie group”, Topology 14 (1975), 63–68.Google Scholar
[9]Schwarz, Gerald W., “Lifting smooth homotopies of orbit spaces”, Inst. Hautes Études Sci. Publ. Math. 51 (1980), 37–135.Google Scholar
[10]Wassermann, Arthur G., “Equivariant differential topology”, Topology 8 (1969), 127–150.Google Scholar