Poon's self-dual metrics and Kähler geometry (Q1106494)
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scientific article; zbMATH DE number 4062104
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Poon's self-dual metrics and Kähler geometry |
scientific article; zbMATH DE number 4062104 |
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Poon's self-dual metrics and Kähler geometry (English)
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1988
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It is shown that the self-dual conformal metrics on connected sums of \({\mathbb{C}}P_ 2's\) recently produced by \textit{Y. S. Poon} [J. Differ. Geom. 24, 97-132 (1986; Zbl 0583.53054)] arise from zero scalar curvature Kähler metrics on blow-ups of \({\mathbb{C}}^ 2\) by adding a point at infinity and reversing the orientation.
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positive scalar curvature
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self-dual conformal metrics
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Kähler metrics
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blow-ups
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point at infinity
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