Holder stability of diffeomorphisms

Jinpeng An

Holder stability of diffeomorphisms

Dynamical Systems 2007-08-31 v1

Authors: Jinpeng An

Abstract

We prove that a $C^2$ diffeomorphism $f$ of a compact manifold $M$ satisfies Axiom A and the strong transversality condition if and only if it is H\"{o}lder stable, that is, any $C^1$ diffeomorphism $g$ of $M$ sufficiently $C^1$ close to $f$ is conjugate to $f$ by a homeomorphism which is H\"{o}lder on the whole manifold.

Keywords

diffeomorphism groups homeomorphisms and topological dynamics homological stability

Cite

@article{arxiv.0708.4076,
  title  = {Holder stability of diffeomorphisms},
  author = {Jinpeng An},
  journal= {arXiv preprint arXiv:0708.4076},
  year   = {2007}
}

Comments

14 pages

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