On Bergman completeness and Bergman stability (Q1590168)
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scientific article; zbMATH DE number 1545455
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Bergman completeness and Bergman stability |
scientific article; zbMATH DE number 1545455 |
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On Bergman completeness and Bergman stability (English)
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7 March 2002
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It is proved that any bounded pseudoconvex domain in \(\mathbb{C}^n\) whose boundary can be described locally as a graph of a continuous function in suitable coordinates in \(\mathbb{C}^n\), is complete with respect to the Bergman metric. The question of stability of the Bergman function is also considered.
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Bergman completeness
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Bergman function
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stability
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0.94282436
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0.9197271
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0.9197019
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0.90871173
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