The generalized Schwarz lemma for the Bergman metric (Q1063153)
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scientific article; zbMATH DE number 3914714
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The generalized Schwarz lemma for the Bergman metric |
scientific article; zbMATH DE number 3914714 |
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The generalized Schwarz lemma for the Bergman metric (English)
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1985
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The author provides a function-theoretic criterion for the Bergman metric to be dominated by the Kobayashi metric on domains of \({\mathbb{C}}^ n\). The criterion is based on a distinguished family of plurisubharmonic functions and a P-metric of N. Sibony, and on a family of biholomorphic invariant functions induced by the Bergman kernel of the domain, introduced by the reviewer in Proc. Conf., Princeton Univ. 1979, Ann. Math. Stud. 65-92 (1981; Zbl 0469.32010).
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Carathéodory metric
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Schwarz lemma
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Bergman metric
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Kobayashi metric
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0.7744385004043579
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0.7440138459205627
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