A geometric characterization of Finsler manifolds of constant curvature \(K=1\) (Q1574354)
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scientific article; zbMATH DE number 1488485
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A geometric characterization of Finsler manifolds of constant curvature \(K=1\) |
scientific article; zbMATH DE number 1488485 |
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A geometric characterization of Finsler manifolds of constant curvature \(K=1\) (English)
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10 August 2000
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The authors reformulate the condition of having constant flag curvature \(K=1\) on a Finsler manifold. They show that such is equivalent to saying that the unit horizontal Liouville vector field is Killing on the indicatrix bundle, with respect to the Sasaki metric.
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constant flag curvature
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Finsler manifold
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horizontal Liouville vector field
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indicatrix bundle
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