Ritt's theorem and the Heins map in hyperbolic complex manifolds

DOI10.1007/BF02884709zbMath1128.32016arXivmath/0411086MaRDI QIDQ2460729

Filippo Bracci, Marco Abate

Publication date: 13 November 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411086

zbMATH Keywords

fixed pointStein manifoldholomorphic self-mapRitt's theoremWolff pointHeins map

Mathematics Subject Classification ID

Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45)

Cites Work

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• Horospheres and iterates of holomorpic maps
• A generalization of Schwarz lemma
• Vector fields on analytic spaces
• Holomorphic Dependence of the Heins Map
• A Characterization of Hyperbolic Manifolds
• A generalization of a theorem of Heins

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