Géodésiques complexes et points fixes d'applications holomorphes

DOI10.1016/0001-8708(84)90023-9zbMath0555.32015OpenAlexW1990890290MaRDI QIDQ760552

Vigué, Jean-Pierre

Publication date: 1984

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(84)90023-9

zbMATH Keywords

complex geodesicsCarathéodory metricfixed points of holomorphic mapping

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Fixed-point theorems on manifolds (58C30) Geodesics in global differential geometry (53C22)

Related Items (14)

On complex geodesics of balanced convex domains ⋮ Extremal disks and composition operators on convex domains in \(\mathbb{C}^ n\) ⋮ The fixed point set and the iterational limits of a holomorphic self-map ⋮ Common fixed points of commuting holomorphic maps ⋮ Theorems of Denjoy-Wolff type ⋮ Fixed points for automorphisms in Cartan domains of type IV ⋮ Fixed points and uniqueness of complex geodesics ⋮ On fixed points of self maps of the free ball ⋮ Strict convexity of bounded domains and unicity of complex geodesics ⋮ L'ensemble des points fixes d'une application holomorphe dans un produit fini de boules-unités d'espaces de Hilbert est une sous-variété banachique complexe. (The fixed point set of a holomorphic map on the finite product of unit balls of Hilbert space is a complex Banach submanifold) ⋮ Unnamed Item ⋮ Complex geodesics in a class of convex bounded Reinhardt domains ⋮ Common Fixed Points in Hyperbolic Riemann Surfaces and Convex Domains ⋮ Points fixes d'applications holomorphes dans un produit fini de boules- unités d'espaces de Hilbert

Cites Work

• Les domaines bornés symétriques d'un espace de Banach complexe et les systèmes triples de Jordan
• Le groupe des automorphismes analytiques d'un domaine borné d'un espace de Banach complexe. Application aux domaines bornés symétriques
• Intrinsic distances, measures and geometric function theory
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