Einstein metrics on even-dimensional homogeneous spaces admitting a homogeneous Riemannian metric of positive sectional curvature (Q1177455)
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scientific article; zbMATH DE number 20562
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Einstein metrics on even-dimensional homogeneous spaces admitting a homogeneous Riemannian metric of positive sectional curvature |
scientific article; zbMATH DE number 20562 |
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Einstein metrics on even-dimensional homogeneous spaces admitting a homogeneous Riemannian metric of positive sectional curvature (English)
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26 June 1992
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The author obtains a classification of homogeneous Einstein metrics on the flag manifolds in the complex, quaternion and Cayley projective planes. Combined with results of \textit{W. Ziller} [Math. Ann. 259, 351-358 (1982; Zbl 0469.53043)], this provides a classification of the invariant Einstein metrics on the manifolds named in the title.
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homogeneous Einstein metrics
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flag manifolds
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projective planes
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invariant Einstein metrics
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