Intersection domains and the sum of two complex hyperbolic metrics (Q1917962)
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scientific article; zbMATH DE number 903597
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Intersection domains and the sum of two complex hyperbolic metrics |
scientific article; zbMATH DE number 903597 |
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Intersection domains and the sum of two complex hyperbolic metrics (English)
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3 September 1996
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In this note we generalize the theorem of Cheung-Wu [\textit{C.-K. Cheung} and \textit{H. Wu}, J. Geom. Anal. 2, No. 1, 37-78 (1992; Zbl 0760.53039)] to higher dimensions and show that the sum of the two Bergman metrics in the intersection of two \(n\)-dimensional complex ellipsoidal domains has negative sectional curvature.
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Bergman metric
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negative sectional curvature
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