A characterization of complex manifolds biholomorphic to a circular domain

DOI10.1007/BF01164158zbMath0591.32030OpenAlexW1980662217MaRDI QIDQ1074746

Giorgio Patrizio

Publication date: 1985

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

Full work available at URL: https://eudml.org/doc/173586

zbMATH Keywords

circular domainplurisubharmonicMonge-Ampère foliationbiholomorphic classification of complex manifoldsstrictly parabolic exhaustion

Mathematics Subject Classification ID

Holomorphic mappings and correspondences (32H99) Domains of holomorphy (32D05) Complex manifolds (32Q99) Plurisubharmonic functions and generalizations (32U05)

Related Items (10)

Isometries of intrinsic metrics on strictly convex domains ⋮ Uniqueness of complex geodesics and characterization of circular domains ⋮ Foliations by stationary disks of almost complex domains ⋮ Monge-Ampère foliations with singularities at the boundary of strongly convex domains ⋮ The pluricomplex Poisson kernel for strongly convex domains ⋮ Pluripotential Theory and Monge–Ampère Foliations ⋮ Propagation of regularity for Monge-Ampère exhaustions and Kobayashi metrics ⋮ Monge-Ampère equations and moduli spaces of manifolds of circular type ⋮ Stein manifolds with compact symmetric center ⋮ Modular data and regularity of Monge-Ampère exhaustions and of Kobayashi distance

Cites Work

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• Stability of the Monge-Ampère foliation
• Nevanlinna theory and holomorphic mappings between algebraic varieties
• Sommes de variétés différentiables et structures différentiables des sphères
• Variational Properties of the Complex Monge-Ampere Equation. II. Intrinsic Norms
• La métrique de Kobayashi et la représentation des domaines sur la boule
• The exponential map at an isolated singular point
• Foliations and complex monge-ampère equations

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