On a class of weak Landsberg metrics (Q995696)
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scientific article; zbMATH DE number 5189089
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a class of weak Landsberg metrics |
scientific article; zbMATH DE number 5189089 |
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On a class of weak Landsberg metrics (English)
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10 September 2007
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The paper deals with Finsler \((\alpha,\beta)\)-metrics -- a class of Finsler metrics defined by a Riemannian metric and a 1-form on an \(n\)-dimensional real manifold. For this class, the weak Landsberg metrics and the Landsberg metrics are characterized, for \(n>2\) and \(n=2\), respectively. As well, it is shown that there exist weak Landsberg metrics which are not Landsberg metrics for \(n>2\).
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Finsler metric
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weak Landsberg metric
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\((\alpha
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\beta)\)-metric.
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