The Kobayashi metric for non-convex complex ellipsoids

1994/07/31 by Peter Pflug, Włodzimierz Zwonek, Pflug, Peter +1
Mathematics · #32 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.math/9407201

openalex publication_date 1994/07/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the paper we give some necessary conditions for a mapping to be a κ-geodesic in non-convex complex ellipsoids. Using these results we calculate explicitly the Kobayashi metric in the ellipsoids \|z₁|²+|z₂|^2m<1\⊂\bold C², where m

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