1 results
Topological and geometric hyperbolicity criteria for polynomial automorphisms of
${\mathbb {C}^2}$
- Part of
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- Journal:
- Ergodic Theory and Dynamical Systems / Volume 42 / Issue 7 / July 2022
- Published online by Cambridge University Press:
- 04 May 2021, pp. 2151-2171
- Print publication:
- July 2022
-
- Article
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- You have access
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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.
