Global stable manifolds in holomorphic dynamics under bunching conditions

Details Global stable manifolds in holomorphic dynamics under bunching conditions Global stable manifolds in holomorphic dynamics under bunching conditions

2011-11-22

arxiv.org/abs/1111.5197v1

Mathematics

Dynamical Systems

32 pages

Scientific paper

We prove that the stable manifold of every point in a compact hyperbolic
invariant set of a holomorphic automorphism of a complex manifold is
biholomorphic to a complex vector space, provided that a bunching condition,
which is weaker than the classical bunching condition for linearizability,
holds.

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