\(v\)-projective symmetries of fibered manifolds (Q2716320)
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scientific article; zbMATH DE number 1602666
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(v\)-projective symmetries of fibered manifolds |
scientific article; zbMATH DE number 1602666 |
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10 June 2001
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\(v\)-projective symmetry
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\(v\)-Weyl tensor
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projective map
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fibered manifold
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\(v\)-projective symmetries of fibered manifolds (English)
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Let \(E\) be an arbitrary fibered manifold and \(\nabla \) be a system of torsion-free connections on the individual fibers of \(E\). A \(v\)-projective symmetry of \(\nabla \) is a projectable vector field on \(E\) whose flow is formed by projective maps among the fibers. The author proves that all \(v\)-symmetries form a Lie algebra. Further he introduces and studies the Weyl tensor in such a situation.
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0.7759016156196594
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0.7571732401847839
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