Back to Search
Start Over
Smooth actions of connected compact Lie groups with a free point are determined by two vector fields.
- Source :
-
Journal of Geometry & Physics . Jul2024, Vol. 201, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- Consider a smooth action G × M → M of a compact connected Lie group G on a connected manifold M. Assume the existence of a point of M whose isotropy group has a single element (a free point). Then we prove that there exist two complete vector field X , X 1 such that their group of automorphisms equals G regarded as a group of diffeomorphisms of M (the existence of a free point implies that the action of G is effective). Moreover, some examples of effective actions with no free point where this result fails are exhibited. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03930440
- Volume :
- 201
- Database :
- Academic Search Index
- Journal :
- Journal of Geometry & Physics
- Publication Type :
- Academic Journal
- Accession number :
- 177319296
- Full Text :
- https://doi.org/10.1016/j.geomphys.2024.105196