The orientation-preserving diffeomorphism group of S^2 deforms to SO(3) smoothly
Differential Geometry
2011-07-05 v2 Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.0912.2877,
title = {The orientation-preserving diffeomorphism group of S^2 deforms to SO(3) smoothly},
author = {Jiayong Li and Jordan Alan Watts},
journal= {arXiv preprint arXiv:0912.2877},
year = {2011}
}
Comments
16 pages