Abstract
It is shown that the Kobayashi indicatrix of a strictly convex domain D ⊂ ℂn is strictly convex at every point p ∈ D. As a consequence, it follows that a strictly pseudoconvex complete domain, which is not strictly convex, cannot be biholomorphic to a strictly convex domain. Some condition for the convexity of the Kobayashi metric in more general domains is also given.
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© 1989 Kluwer Academic Publishers
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Patrizio, G. (1989). On the Convexity of the Kobayashi Indicatrix. In: Ławrynowicz, J. (eds) Deformations of Mathematical Structures. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2643-1_16
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DOI: https://doi.org/10.1007/978-94-009-2643-1_16
Publisher Name: Springer, Dordrecht
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