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On \(m\)-th root metrics with special curvature properties - MaRDI portal

On \(m\)-th root metrics with special curvature properties (Q550425)

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On \(m\)-th root metrics with special curvature properties
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    On \(m\)-th root metrics with special curvature properties (English)
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    8 July 2011
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    Classes of Finslerian metrics of \(m\)-th root type satisfying special curvature conditions are the subject of this short note. There are two main reduction results for these \(m\)-th root metrics: 1. a metric with isotropic Landsberg curvature is a Landsberg metric; 2. a metric with almost vanishing \(H\)-curvature has, in fact, vanishing \(H\)-curvature.
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    \(m\)-th root metric
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    special curvature properties
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