On the projective equivalence between (\(\alpha,\beta\))-metrics and Kropina metrics (Q2901335)
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scientific article; zbMATH DE number 6058398
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the projective equivalence between (\(\alpha,\beta\))-metrics and Kropina metrics |
scientific article; zbMATH DE number 6058398 |
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19 July 2012
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(\(\alpha
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\beta \))-metric
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Kropina metric
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projective equivalence
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Douglas metric
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0.92701185
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0.9212143
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0.92106384
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0.92011344
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0.91047686
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On the projective equivalence between (\(\alpha,\beta\))-metrics and Kropina metrics (English)
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Two Finsler metrics \(F_1\), \(F_2\) are \textit{projectively equivalent} if they have the same geodesics as point sets. The paper under review treats the case: \(F_1=(\alpha , \beta )\)-metric of a particularly type and \(F_2=\) Kropina metric.
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