Algebraic structure of standard homogeneous Einstein manifolds (Q2713917)
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scientific article; zbMATH DE number 1603177
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Algebraic structure of standard homogeneous Einstein manifolds |
scientific article; zbMATH DE number 1603177 |
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10 June 2001
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Einstein manifold
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homogeneous space
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algebraic structure
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Algebraic structure of standard homogeneous Einstein manifolds (English)
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The author studies standard homogeneous Einstein manifolds \(M=G/H\), where \(G\) is a compact semisimple Lie group and the metric on \(M\) is obtained from the Killing form on the Lie algebra of \(G\). For this case, the author obtains some algebraic restrictions on the structure of such manifolds. This makes it possible to classify Einstein manifolds in some particular cases (when some additional conditions on \(H\) and on the embedding of \(H\) into \(G\) are imposed).
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