Bochner's technique on Lorentzian manifolds and infinitesimal conformal symmetries (Q1127911)
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scientific article; zbMATH DE number 1186478
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bochner's technique on Lorentzian manifolds and infinitesimal conformal symmetries |
scientific article; zbMATH DE number 1186478 |
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Bochner's technique on Lorentzian manifolds and infinitesimal conformal symmetries (English)
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15 September 1999
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Bochner's technique is applied to the study of timelike vector fields on a Lorentzian manifold. A Lorentzian Bochner integral formula is obtained; as a consequence, compact Ricci-flat Lorentzian manifolds admitting a timelike conformal vector field are classified. Some obstructions to the existence of timelike conformal vector fields and other conformal symmetries are also given.
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Lorentzian manifold
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timelike conformal vector field
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Ricci tensor
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