The Kobayashi Indicatrix at the Center of a Circular Domain

DOI10.2307/2045007zbMath0494.32008OpenAlexW4229717335MaRDI QIDQ3957218

Theodore J. Barth

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/2045007

zbMATH Keywords

convex domainKobayashi metriccomplex Banach spacecomplete circular domainsemigaugetaut domain

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Banach analytic manifolds and spaces (32K05) Holomorphically convex complex spaces, reduction theory (32E05) Pseudoconvex domains (32T99)

Related Items

On the generalized squeezing functions and Fridman invariants of special domains ⋮ A Counterexample for Kobayashi Completeness of Balanced Domains ⋮ Indicatrix of invariant metrics, maximal circularity and scaling of domains ⋮ A remark on the tautness modulo an analytic hypersurface of Hartogs-type domains ⋮ Pseudodistances and pseudometrics on real and complex manifolds ⋮ Quasi-homogenity of holomorphic maps from a quasi-disc domain to a disc domain ⋮ Extremal mappings for the Schwarz lemma ⋮ On hyperbolicity and tautness of certain Hartogs type domains ⋮ Intrinsic metrics in complete circular domains ⋮ Unnamed Item ⋮ Proper holomorphic mappings between quasi-circular domains and complete circular domains ⋮ Invariant metrics and indicatrices of bounded domains in \({\mathbb{C}}^ n\) ⋮ A Cartan theorem for proper holomorphic mappings of complete circular domains ⋮ Bordered complex Hessians ⋮ Characterization of analytic isomorphisms on the unit-ball in \(\mathbb{C}^ n\) for a norm ⋮ Construction of envelopes of holomorphy for some classes of special domains

Cites Work

• Fonctions plurisousharmoniques d'exhaustion bornees et domaines taut
• Intrinsic distances, measures and geometric function theory
• Taut and Tight Complex Manifolds
• Normal families of holomorphic mappings
• Unnamed Item
• Unnamed Item
• Unnamed Item