On the automorphism group of a Stein manifold

DOI10.1007/BF01458443zbMath0532.32014MaRDI QIDQ788866

Eric Bedford

Publication date: 1983

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163848

zbMATH Keywords

Stein manifoldcharacterization of automorphisms by means of homology groupsdimension of automorphism group

Mathematics Subject Classification ID

Complex Lie groups, group actions on complex spaces (32M05) Stein spaces (32E10)

Related Items (23)

Horospheres and iterates of holomorpic maps ⋮ Automorphisms of certain Stein manifolds ⋮ The fixed point set and the iterational limits of a holomorphic self-map ⋮ Polynomial diffeomorphisms of \({\mathbb C}^2\): Currents, equilibrium measure and hyperbolicity ⋮ Ergodicity, numerical range, and fixed points of holomorphic mappings ⋮ On invariant domains in certain complex homogeneous spaces ⋮ Tautness and Fatou components in \(\mathbb P^2\) ⋮ Rigidity of automorphism groups of invariant domains in certain Stein homogeneous manifolds ⋮ Backward dynamics of non-expanding maps in Gromov hyperbolic metric spaces ⋮ Determination sets for holomorphic automorphisms of a bounded domain ⋮ The Burns-Krantz rigidity with an interior fixed point ⋮ On iterates of holomorphic maps ⋮ Wolff-Denjoy theorems in nonsmooth convex domains ⋮ Classification of recurrent domains for holomorphic maps on complex projective spaces ⋮ On the boundary rigidity at strongly pseudoconvex points ⋮ Semicontractions in locally compact spaces and the case of complex manifolds ⋮ Dynamics of transcendental Hénon maps ⋮ Results and conjectures in holomorphic fixed point theory ⋮ Determination sets for analytic automorphisms and endomorphisms of a bounded domain. ⋮ Polynomial shift-like maps in ℂk ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Points fixes d'une application holomorphe d'un domaine borné dans lui- même. (Fixed points of a holomorphic mapping of a bounded domain into itself)

Cites Work

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• Invariant forms on complex manifolds with application to holomorphic mappings
• Rigidity of holomorphic self-mappings and the automorphism groups of hyperbolic Stein spaces
• A Stein manifold topologically but not holomorphically equivalent to a domain in \({\mathbb{C}}^ n\)
• Holomorphic mapping of products of annuli in \(\mathbb{C}^n\)
• Holomorphic retracts in complex n-space
• Reelle Transformationsgruppen und invariante Metriken auf komplexen Räumen
• Characteristic Classes. (AM-76)
• Geometry of Bounded Domains
• Normal families of holomorphic mappings

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