Centralizers of area preserving diffeomorphisms on 𝑆²

Burslem, Lizzie

doi:10.1090/S0002-9939-04-07675-0

Centralizers of area preserving diffeomorphisms on $S^2$
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Proc. Amer. Math. Soc. 133 (2005), 1101-1108 Request permission

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.

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