Locally conformally homogeneous Riemannian spaces (Q2760845)
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scientific article; zbMATH DE number 1682346
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Locally conformally homogeneous Riemannian spaces |
scientific article; zbMATH DE number 1682346 |
Statements
13 December 2001
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locally homogeneous manifolds
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conformally Killing vector fields
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0.97281635
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0.97036576
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0.9325257
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0.9306026
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0.9218724
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0.92116344
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0.9189655
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Locally conformally homogeneous Riemannian spaces (English)
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A Riemannian manifold is called locally conformally homogeneous if for any point \(x\) of the manifold and any tangent vector \(v\) at \(x\) there is a conformally Killing vector field near \(x\) such that it equals \(v\) at \(x\). The authors prove that a locally conformally homogeneous manifold is either conformally flat and its Weyl tensor vanishes or conformally equivalent to a locally homogeneous manifold and its Weyl tensor does not vanish.
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