The orientation-preserving diffeomorphism group of S2 deforms to SO(3) smoothly

Jiayong Li; Jordan Alan Watts

doi:10.1007/s00031-011-9130-0

The orientation-preserving diffeomorphism group of S² deforms to SO(3) smoothly

Jiayong Li, Jordan Alan Watts

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Smale proved that the orientation-preserving diffeomorphism group of S² has a continuous strong deformation retraction to SO(3). In this paper, we construct such a strong deformation retraction which is diffeologically smooth.

Original language	English
Pages (from-to)	537-553
Number of pages	17
Journal	Transformation Groups
Volume	16
Issue number	2
DOIs	https://doi.org/10.1007/s00031-011-9130-0
State	Published - Jun 2011
Externally published	Yes

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title = "The orientation-preserving diffeomorphism group of S2 deforms to SO(3) smoothly",

abstract = "Smale proved that the orientation-preserving diffeomorphism group of S2 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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The orientation-preserving diffeomorphism group of S² deforms to SO(3) smoothly

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