Local density of diffeomorphisms with large centralizers
Dynamical Systems
2007-09-28 v1
Abstract
Given any compact manifold M, we construct a non-empty open subset O of the space of C^1-diffeomorphisms of M and a dense subset D of O such that the centralizer of every diffeomorphism in D is uncountable, hence non-trivial.
Cite
@article{arxiv.0709.4319,
title = {Local density of diffeomorphisms with large centralizers},
author = {Christian Bonatti and Sylvain Crovisier and Gioia Vago and Amie Wilkinson},
journal= {arXiv preprint arXiv:0709.4319},
year = {2007}
}