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The orientation-preserving diffeomorphism group of S^2 deforms to SO(3) smoothly
- Source :
- Transformation Groups, Springer, Volume 16, Number 2, (2011) pp, 537-553
- Publication Year :
- 2009
-
Abstract
- Smale proved that the orientation-preserving diffeomorphism group of S^2 has a continuous strong deformation retraction to SO(3). In this paper, we construct such a strong deformation retraction which is diffeologically smooth.<br />Comment: 16 pages
- Subjects :
- Mathematics - Differential Geometry
Mathematics - Symplectic Geometry
Subjects
Details
- Database :
- arXiv
- Journal :
- Transformation Groups, Springer, Volume 16, Number 2, (2011) pp, 537-553
- Publication Type :
- Report
- Accession number :
- edsarx.0912.2877
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/s00031-011-9130-0