Conformal vector fields on a locally projectively flat Randers manifold (Q2875446)
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scientific article; zbMATH DE number 6330563
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Conformal vector fields on a locally projectively flat Randers manifold |
scientific article; zbMATH DE number 6330563 |
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Conformal vector fields on a locally projectively flat Randers manifold (English)
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14 August 2014
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conformal vector field
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projectively isotropic flag curvature
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projectively flat
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Randers manifolds
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projectively flatness
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The paper studies and characterizes conformal vector fields on Randers manifolds of projectively isotropic flag curvature. In particular, it is shown that any conformal vector field on a non-Riemannian locally projectively flat Randers manifold of dimension \(n\geq3\) must be homothetic. As well, the conformal vector fields on a locally projectively flat Randers manifold are explicitly described.
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