STABLE MANIFOLDS OF HOLOMORPHIC HYPERBOLIC MAPS

DOI10.1142/S0129167X04002557zbMath1071.32016MaRDI QIDQ4670287

John-Erik Fornaess, Berit Stensones Henriksen

Publication date: 18 April 2005

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

iterationstable manifoldsFatou-Bieberbach domainshyperbolic mapsbasin of attractions

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Dynamical systems over complex numbers (37F99) Complex manifolds as subdomains of Euclidean space (32Q35)

Related Items (12)

Adaptive trains for attracting sequences of holomorphic automorphisms ⋮ Chains of holomorphic contractions and Fatou-Bieberbach domains ⋮ Abstract Basins of Attraction ⋮ The first thirty years of Andersén-Lempert theory ⋮ Perturbed basins of attraction ⋮ An abstract approach to Loewner chains ⋮ Examples of non-autonomous basins of attraction ⋮ Solving the Loewner PDE in complete hyperbolic starlike domains of \(\mathbb{C}^N\) ⋮ ATTRACTING BASINS OF VOLUME PRESERVING AUTOMORPHISMS OF ℂ^k ⋮ Normalization of bundle holomorphic contractions and applications to dynamics ⋮ Canonical models for holomorphic iteration ⋮ Classical and Stochastic Löwner–Kufarev Equations

Cites Work

• Attracting basins for automorphisms of \(\mathbb{C}^2\)
• Stable manifolds of holomorphic diffeomorphisms
• Local Contractions and a Theorem of Poincare

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