Article contents
Topological and geometric hyperbolicity criteria for polynomial automorphisms of
${\mathbb {C}^2}$
Published online by Cambridge University Press: 04 May 2021
Abstract
We prove that uniform hyperbolicity is invariant under topological conjugacy for dissipative polynomial automorphisms of
$\mathbb {C}^2$
. Along the way we also show that a sufficient condition for hyperbolicity is that local stable and unstable manifolds of saddle points have uniform geometry.
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- Original Article
- Information
- Creative Commons
- This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited.
- Copyright
- © The Author(s), 2021. Published by Cambridge University Press
References
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