Quasi-potentials and Kähler-Einstein metrics on flag manifolds (Q1372647)
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scientific article; zbMATH DE number 1088601
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quasi-potentials and Kähler-Einstein metrics on flag manifolds |
scientific article; zbMATH DE number 1088601 |
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Quasi-potentials and Kähler-Einstein metrics on flag manifolds (English)
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10 April 2000
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The aim of this paper is to prove the following result. Proposition. Let \(G\) be a complex reductive group, \(P\) and \(Q\) parabolic subgroups of \(G\) with \(P\subset Q\), and \(K\) a maximal compact subgroup of \(G\). The \(K\)-invariant Kähler-Einstein metric of \(G/P\) restricted to any fiber of the fibration \(G/P\to G/Q\) is again Kähler-Einstein.
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flag manifold
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invariant Kähler-Einstein metric
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complex reductive group
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parabolic subgroups
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0.98402506
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0.9260387
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0.92300326
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0.91086495
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