A characterization of Finsler metrics of constant flag curvature (Q1944255)
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scientific article; zbMATH DE number 6150660
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A characterization of Finsler metrics of constant flag curvature |
scientific article; zbMATH DE number 6150660 |
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A characterization of Finsler metrics of constant flag curvature (English)
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5 April 2013
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The author defines a projective invariant called \(\overline{W}\)-curvature on a Finsler manifold. If \((M,F)\) is a connected Finsler manifold with dimension \(n\geq 3\) then he proves that the Finsler metric \(F\) is of constant flag curvature if and only if \(\overline{W}=0\).
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Finsler metrics
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flag curvature
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Weyl curvature
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C-projective transformations
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