On generalized \(m\)-th root Finsler metrics (Q426058)
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scientific article; zbMATH DE number 6044815
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On generalized \(m\)-th root Finsler metrics |
scientific article; zbMATH DE number 6044815 |
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On generalized \(m\)-th root Finsler metrics (English)
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11 June 2012
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Dually flat Finsler metrics are an important class of Finsler metrics, used to study Finsler information geometry. In this article the authors characterize locally dually flat generalized m-th root Finsler metrics. More exactly, they determine sufficient conditions for a generalized m-th root Finsler metric to be projectively related to an m-th root metric. They also prove that if a generalized m-th root metric is conformal to an m-th root metric, then both of them are Riemannian metrics.
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generalized \(m\)-th root metric
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locally dually flat metric
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projectively related metrics
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conformal change
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