Conformally related invariant ( <i>α</i> , <i>β</i> )-metrics on homogeneous spaces (Q6606295)
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scientific article; zbMATH DE number 7914175
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Conformally related invariant ( <i>α</i> , <i>β</i> )-metrics on homogeneous spaces |
scientific article; zbMATH DE number 7914175 |
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Conformally related invariant ( <i>α</i> , <i>β</i> )-metrics on homogeneous spaces (English)
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16 September 2024
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The authors derive a formula for the flag curvature of a general \((\alpha, \beta)\)-metric and establish the conditions under which the metric is conformally related to an invariant \((\alpha, \beta)\)-metric. Moreover, they present conditions for conformal relationships between Douglas metrics and Randers metrics, as detailed in various propositions throughout the paper.
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