Conformal vector fields on pseudo-Riemannian spaces (Q1385076)
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scientific article; zbMATH DE number 1145939
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Conformal vector fields on pseudo-Riemannian spaces |
scientific article; zbMATH DE number 1145939 |
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Conformal vector fields on pseudo-Riemannian spaces (English)
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6 September 1998
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The authors make a study of global conformal vector fields on pseudo-Riemannian manifolds, in particular on Einstein manifolds and manifolds of constant scalar curvature. For Einstein spaces, a complete classification theorem is presented. In the more general case where the manifold has constant scalar curvature, a similar classification result is obtained for conformal vector fields which are closed, that is, are locally gradient vector fields.
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warped product
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conformal gradient field
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Einstein spaces
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constant scalar curvature
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0.9822403
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0.9599267
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0.9495407
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0.9485603
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0.9485603
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0.94754344
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