On the existence of complete Kähler metrics of negative Riemannian curvature bounded away from zero on ellipsoidal domains in \({\mathbb{C}}^ n\) (Q1094693)
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scientific article; zbMATH DE number 4026300
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of complete Kähler metrics of negative Riemannian curvature bounded away from zero on ellipsoidal domains in \({\mathbb{C}}^ n\) |
scientific article; zbMATH DE number 4026300 |
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On the existence of complete Kähler metrics of negative Riemannian curvature bounded away from zero on ellipsoidal domains in \({\mathbb{C}}^ n\) (English)
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1987
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Complete Kähler metrics are described by explicit formulas on ellipsoidal domains in \({\mathbb{C}}^ n\). The Riemannian sectional curvature is bounded from above and from below by some negative constants. Upper and lower bounds for the holomorphic sectional curvature are also computed. Finally, the author is interested in relations with the Bergman metrics.
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Kähler metrics
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sectional curvature
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holomorphic sectional curvature
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Bergman metrics
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