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- W853463544 abstract "Introduction. Let A = Aq be the annulus with parameter q ∈ (0, 1): Aq = {λ ∈ C; q < |λ| < 1}. Let C,K, and P be the Caratheodory, the Kobayashi, and the P-metric on A, respectively (for the definition of P see Section 1). Since all the metrics C,K, and P are invariant for biholomorphic mappings and since A is one-dimensional, the functions CP(λ) := C(X)/P(X) and KP(λ) := K(X)/P(X) for X a non-zero holomorphic tangent vector at λ ∈ A are well-defined as functions on A and invariant for holomorphic automorphisms of A. The main purpose of this paper is to show the following. Theorem A. Let r ∈ (0, 1) be defined by" @default.
- W853463544 created "2016-06-24" @default.
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- W853463544 date "1995-01-01" @default.
- W853463544 modified "2023-09-30" @default.
- W853463544 title "The ratio of invariant metrics on the annulus and theta functions" @default.
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- W853463544 doi "https://doi.org/10.4064/-31-1-53-60" @default.
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