On the class of \((q,\alpha,\beta)\)-metrics (Q2014756)
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scientific article; zbMATH DE number 6304707
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the class of \((q,\alpha,\beta)\)-metrics |
scientific article; zbMATH DE number 6304707 |
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On the class of \((q,\alpha,\beta)\)-metrics (English)
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16 June 2014
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Summary: We study a class of Finsler metrics in the form \(F=(\alpha+\beta)^q/\alpha^{q-1}\), called \((q,\alpha,\beta)\)-metrics, where \(\alpha\) is a Riemannian metric, \(\beta\) is a \(1\)-form, and \(1<q<2\). We find the necessary and sufficient conditions under which the class of \((q,\alpha,\beta)\)-metrics is locally projectively flat and consists of Douglas metrics, respectively.
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\((q,\alpha,\beta)\)-metrics
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locally projectively flat
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Douglas metrics
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