On invariant Einstein metrics on generalized symmetric spaces (Q2713916)
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scientific article; zbMATH DE number 1603176
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On invariant Einstein metrics on generalized symmetric spaces |
scientific article; zbMATH DE number 1603176 |
Statements
10 June 2001
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Einstein manifold
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homogeneous space
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invariant metric
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On invariant Einstein metrics on generalized symmetric spaces (English)
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Let \(F\) be a compact simple Lie group, \(G= F \times F \times F\), \(H=\text{diag}(F) \subset G\). Then \(M=G/H\) equipped with the standard homogeneous metric is an Einstein manifold. The author proves that any other \(G\)-invariant Einstein metric on \(M\) is proportional to the standard metric.
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