On deformations of Einstein-Weyl structures (Q1281866)
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scientific article; zbMATH DE number 1268493
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On deformations of Einstein-Weyl structures |
scientific article; zbMATH DE number 1268493 |
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On deformations of Einstein-Weyl structures (English)
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25 September 2000
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In this paper, the author studies Einstein-Weyl structures on Einstein manifolds by considering infinitesimal deformations of the Einstein metric. It is proved that, if the first eigenvalue of the curvature operator is greater than \(\min\{R/n,-R/(2n)\}\) where \(R\) is the scalar curvature, then an Einstein-Weyl structure is conformally rigid, which means that such deformations come from conformal Killing vector fields.
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Einstein manifold
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Einstein-Weyl structure
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conformally rigid
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conformal Killing vector field
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