Einstein metrics on solvable groups (Q1812941)
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scientific article; zbMATH DE number 962
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Einstein metrics on solvable groups |
scientific article; zbMATH DE number 962 |
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Einstein metrics on solvable groups (English)
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25 June 1992
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We investigate when solvable Lie groups of a certain type do admit left invariant metrics with constant negative Ricci curvature. Our methods permit to construct a lot of new Einstein manifolds; some examples also have nonpositive sectional curvature. Further we relate the Einstein condition to the property that all geodesic symmetries are volume preserving.
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solvable Lie groups
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left invariant metrics
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negative Ricci curvature
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Einstein manifolds
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geodesic symmetries
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