The Kobayashi indicatrix at the center of a circular domain
Copyright policy )The Kobayashi indicatrix at the center of a circular domain
The indicatrix of the Kobayashi infinitesimal metric at the center of a pseudoconvex complete circular domain coincides with this domain. It follows that a nonconvex complete circular domain cannot be biholomorphic to any convex domain. An example shows that a bounded pseudoconvex complete circular domain in C 2 {{\mathbf {C}}^2} need not be taut.
Banach analytic manifolds and spaces, convex domain, Kobayashi metric, complete circular domain, Special domains in \({\mathbb C}^n\) (Reinhardt, Hartogs, circular, tube), Pseudoconvex domains, complex Banach space, semigauge, taut domain, Holomorphically convex complex spaces, reduction theory, Invariant metrics and pseudodistances in several complex variables
Banach analytic manifolds and spaces, convex domain, Kobayashi metric, complete circular domain, Special domains in \({\mathbb C}^n\) (Reinhardt, Hartogs, circular, tube), Pseudoconvex domains, complex Banach space, semigauge, taut domain, Holomorphically convex complex spaces, reduction theory, Invariant metrics and pseudodistances in several complex variables
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