Centralizers of area preserving diffeomorphisms on $S^2$
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Abstract:
It has been conjectured that a generic diffeomorphism on a compact manifold will have trivial centralizer. We give some partial results towards proving this conjecture within the class of area preserving diffeomorphisms of the sphere.References
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Additional Information
- Lizzie Burslem
- Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109
- Email: burslem@umich.edu
- Received by editor(s): November 26, 2003
- Published electronically: November 19, 2004
- Communicated by: Michael Handel
- © Copyright 2004
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 133 (2005), 1101-1108
- MSC (2000): Primary 37E30, 37C05
- DOI: https://doi.org/10.1090/S0002-9939-04-07675-0
- MathSciNet review: 2117211