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Asymptotic Expansions of Invariant Metrics of Strictly Pseudoconvex Domains

Asymptotic Expansions of Invariant Metrics of Strictly Pseudoconvex Domains

Abstract In this paper we obtain the asymptotic expansions of the Carathéodory and Kobayashi metrics of strictly pseudoconvex domains with C ∞ smooth boundaries in ℂ n . The main result of this paper can be stated as following: Main Theorem. Let Ω be a strictly pseudoconvex domain with C …