Resolving actions of compact Lie groups
- 17 April 1978
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 18 (2) , 243-254
- https://doi.org/10.1017/s0004972700008054
Abstract
A general process for the desingularization of smooth actions of compact Lie groups is described. If G is a compact Lie group, it is shown that there is naturally associated to any compact G manifold M a compact G × (Z/2)p manifold on which G acts principally. Here Z/2 denotes the cyclic group of order two and p + 1 is the number of orbit types of the G action on M.Keywords
This publication has 2 references indexed in Scilit:
- Stable Mappings and Their SingularitiesPublished by Springer Nature ,1973
- On the nature of turbulenceCommunications in Mathematical Physics, 1971