On the Convexity of the Kobayashi Indicatrix

Giorgio Patrizio
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Giorgio Patrizio: II Università di Roma, Dipartimento di Matematica

A chapter in Deformations of Mathematical Structures, 1989, pp 171-176 from Springer

Abstract: 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.

Keywords: Complex Manifold; Convex Domain; Pseudoconvex Domain; Circular Domain; Homogeneous Complex (search for similar items in EconPapers)
Date: 1989
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DOI: 10.1007/978-94-009-2643-1_16

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