A Kähler Einstein structure on the tangent bundle of a space form (Q5932788)
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scientific article; zbMATH DE number 1607420
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Kähler Einstein structure on the tangent bundle of a space form |
scientific article; zbMATH DE number 1607420 |
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A Kähler Einstein structure on the tangent bundle of a space form (English)
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11 March 2002
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The author studies a condition for an almost Kähler structure on the tangent bundle of a Riemannian manifold of constant negative curvature to be Einstein-Kähler. He proves that, if this is the case, the Einstein-Kähler structure has constant holomorphic sectional curvature.
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Kähler-Einstein structure
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Riemannian manifold
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constant negative curvature
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constant holomorphic sectional curvature
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