THE COMPLEX GEODESICS OF THE SYMMETRIZED BIDISC

DOI10.1142/S0129167X06003564zbMath1104.32004MaRDI QIDQ5470145

N. J. Young, Jim Agler

Publication date: 29 May 2006

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Carathéodory metricKobayashi metric

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45)

Related Items

The hyperbolic geometry of the symmetrized bidisc, Nevanlinna-Pick problem and uniqueness of left inverses in convex domains, symmetrized bidisc and tetrablock, A geometric characterization of the symmetrized bidisc, Nonuniqueness of Carathéodory extremal functions on the symmetrized bidisc, Finite Blaschke products and the construction of rational \(\Gamma\)-inner functions, The complex geometry of a domain related to \(\mu\)-synthesis, Geodesics, Retracts, and the Norm-Preserving Extension Property in the Symmetrized Bidisc, Norm preserving extensionsof bounded holomorphic functions, 3-extremal holomorphic maps and the symmetrized bidisc, Intrinsic directions, orthogonality, and distinguished geodesics in the symmetrized bidisc, Some Analysable Instances of μ-synthesis, Characterizations of some domains via Carathéodory extremals

Cites Work

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• The hyperbolic geometry of the symmetrized bidisc
• The two-by-two spectral Nevanlinna-Pick problem
• THE SYMMETRIZED BIDISC AND LEMPERT'S THEOREM
• THE $2\times 2$ SPECTRAL NEVANLINNA–PICK PROBLEM
• DESCRIPTION OF ALL COMPLEX GEODESICS IN THE SYMMETRIZED BIDISC
• Invariant distances and metrics in complex analysis–-revisited