Diffeomorphisms Holder conjugate to Anosov diffeomorphisms
Dynamical Systems
2010-06-25 v2
Abstract
We show by means of a counterexample that a diffeomorphism Holder conjugate to an Anosov diffeomorphism is not necessarily Anosov. The counterexample can bear higher smoothness up to . Also we include a result from the 2006 Ph.D. thesis of T. Fisher: a diffeomorphism Holder conjugate to an Anosov diffeomorphism is Anosov itself provided that Holder exponents of the conjugacy and its inverse are sufficiently large.
Cite
@article{arxiv.0809.0529,
title = {Diffeomorphisms Holder conjugate to Anosov diffeomorphisms},
author = {Andrey Gogolev},
journal= {arXiv preprint arXiv:0809.0529},
year = {2010}
}
Comments
15 pages, 4 figures. Comments are welcome. Minor fixes in the second version