Description of all complex geodesics in the symmetrized bidisc

2003/12/08 by Peter Pflug, P. Pflug, Włodzimierz Zwonek +3 · 3 citations
Mathematics · #32F45 #Algebraic and Geometric Analysis #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #math.CV #msc:32F45

paper · pdf · doi:10.48550/arxiv.math/0312157

11 pages

arxiv created 2003/12/08 · openalex publication_date 2003/12/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the paper we find effective formulas for the complex geodesics in the symmetrized bidisc.

Cited by

• On left inverses in the Lempert theorem
• Few maps in the rich structure for the domains G_E(3;3;1,1,1) and G_E(3;2;1,2)
• The Hexablock: a domain associated with the μ-synthesis in M₂(\mathbb C)

Related

• Intrinsic Directions, Orthogonality and Distinguished Geodesics in the Symmetrized Bidisc
• Geodesics, retracts, and the norm-preserving extension property in the\n symmetrized bidisc
• Efficient geodesics and an effective algorithm for distance in the\n complex of curves
• Geodesics of simultaneity in Schwarzschild
• The straight line, the catenary, the brachistochrone, the circle, and\n Fermat