Isolated fixed point sets for holomorphic maps

DOI10.1016/j.matpur.2006.01.007zbMath1121.58011arXivmath/0601497OpenAlexW2116487180MaRDI QIDQ864179

Daowei Ma, Buma L. Fridman, Vigué, Jean-Pierre

Publication date: 13 February 2007

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601497

zbMATH Keywords

fixed point setscardinality of isolated fixed point setsholomorphic retraction

Mathematics Subject Classification ID

Fixed-point theorems on manifolds (58C30) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Complex Lie groups, group actions on complex spaces (32M05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On fixed points of conformal self-mappings
• Riemannsche Geometrie im Großen. 2. Aufl
• Characterization of the unit ball in \(\mathbb{C}^n\) by its automorphism group
• Sur une caractérisation de la boule parmi les domaines de \(\mathbb{C}^n\) par son groupe d'automorphismes
• Über Fixpunkte holomorpher Automorphismen
• On fixed points and determining sets for holomorphic automorphisms
• Determination sets for holomorphic automorphisms of a bounded domain
• Sur les fonctions de plusieurs variables complexes. L'itération des transformations intérieures d'un domaine borné
• Determination sets for analytic automorphisms and endomorphisms of a bounded domain.
• Fixed points and determining sets for holomorphic self-maps of a hyperbolic manifold
• On determining sets for holomorphic automorphisms
• Properties of fixed point sets and a characterization of the ball in ${\mathbb C}^n$
• Points Fixes D'Applications Holomorphes Dans Un Domaine Borne Convexe De C n
• The Fixed Points of an Analytic Self-Mapping
• A conformal self-map which fixes three points in the identity
• The Conformal Group of a Plane Domain
• Riemannian geometry.