On Einstein \(m\)-th root metrics (Q973196)
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scientific article; zbMATH DE number 5713580
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Einstein \(m\)-th root metrics |
scientific article; zbMATH DE number 5713580 |
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On Einstein \(m\)-th root metrics (English)
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28 May 2010
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The main results of this paper concerns a special class of Einstein Finsler metrics. More exactly, let \(F\) be a non-Riemannian \(m\)-th root metric (\(m>2\)) on a manifold of dimension \(n>1\). If \(F\) is an Einstein metric, then it is Ricci flat. This theorem is also generalized to weak Einstein \(m\)-th root metrics.
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Finsler space
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\(m\)-th root metrics
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Einstein metric
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geodesic spray
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