Three-dimensional homogeneous critical metrics for quadratic curvature functionals (Q2662184)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Three-dimensional homogeneous critical metrics for quadratic curvature functionals |
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Three-dimensional homogeneous critical metrics for quadratic curvature functionals (English)
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9 April 2021
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It is shown that for any \(t\in \mathbb{R}\), there exist non-Einstein homogeneous \(F_{t}\)-critical metrics on homogeneous \(3\)-manifolds, where \(F_{t}\) denotes the scalar quadratic curvature functional.
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quadratic curvature functional
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critical metric
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homogeneous space
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Lie group
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