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

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

2009-12-15

arxiv.org/abs/0912.2877v2

Transformation Groups, Springer, Volume 16, Number 2, (2011) pp, 537-553

Mathematics

Differential Geometry

16 pages

Scientific paper

10.1007/s00031-011-9130-0

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.

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