Open AccessCentralizers of area preserving diffeomorphisms on 𝑆²
Author(s) -
Lizzie Burslem
Publication year - 2004
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/s0002-9939-04-07675-0
Subject(s) - centralizer and normalizer , diffeomorphism , conjecture , pure mathematics , mathematics , class (philosophy) , manifold (fluid mechanics) , computer science , artificial intelligence , engineering , mechanical engineering
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.