paper

The orientation-preserving diffeomorphism group of S^2 deforms to SO(3) smoothly

arXiv:0912.2877 · doi:10.1007/s00031-011-9130-0

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.

16 pages

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