Venturini, Sergio On holomorphic isometries for the Kobayashi and Carathéodory distances on complex manifolds. (English) Zbl 0741.32018 Atti Accad. Naz. Lincei, VIII. Ser., Rend., Cl. Sci. Fis. Mat. Nat. 83, 139-145 (1989). The author gives characterization of biholomorphic mappings from convex bounded domains to complete circular domains in terms of local isometry properties of these mappings in Kobayashi and Carathéodory pseudodistances. Reviewer: A.Russakovskii (Düsseldorf) Cited in 2 Documents MSC: 32F45 Invariant metrics and pseudodistances in several complex variables 32A07 Special domains in \({\mathbb C}^n\) (Reinhardt, Hartogs, circular, tube) (MSC2010) Keywords:infinitesimal pseudometrics; complete circular domains; biholomorphic mappings PDFBibTeX XMLCite \textit{S. Venturini}, Atti Accad. Naz. Lincei, VIII. Ser., Rend., Cl. Sci. Fis. Mat. Nat. 83, 139--145 (1989; Zbl 0741.32018)