Global stable manifolds in holomorphic dynamics under bunching conditions
Dynamical Systems
2015-04-22 v1 Complex Variables
Abstract
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.
Keywords
Cite
@article{arxiv.1111.5197,
title = {Global stable manifolds in holomorphic dynamics under bunching conditions},
author = {Alberto Abbondandolo and Pietro Majer},
journal= {arXiv preprint arXiv:1111.5197},
year = {2015}
}
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32 pages