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Smooth torus actions are described by a single vector field.
- Source :
-
Revista Mathematica Iberoamericana . 2018, Vol. 34 Issue 2, p839-852. 14p. - Publication Year :
- 2018
-
Abstract
- Consider a smooth effective action of a torus Tn on a connected C∞-manifold M. Assume that M is not a torus endowed with the natural action. Then we prove that there exists a complete vector field X on M such that the automorphism group of X equals Tn×R, where the factor R comes from the flow of X and Tn is regarded as a subgroup of Diff(M). Thus one may reconstruct the whole action of Tn from a single vector field. [ABSTRACT FROM AUTHOR]
- Subjects :
- *GALOIS theory
*GROUP theory
*NUMBER theory
*AUTOMORPHISM groups
*SUBGROUP growth
Subjects
Details
- Language :
- English
- ISSN :
- 02132230
- Volume :
- 34
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Revista Mathematica Iberoamericana
- Publication Type :
- Academic Journal
- Accession number :
- 129968501
- Full Text :
- https://doi.org/10.4171/rmi/1005