Some properties of m-th root Finsler metrics |
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Authors: | A Tayebi A Nankali E Peyghan |
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Institution: | 1. University of Qom, Qom, Iran 2. Arak University, Arak, Iran
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Abstract: | We prove that every m-th root metric with isotropic mean Berwald curvature reduces to a weakly Berwald metric. Then we show that an m-th root metric with isotropic mean Landsberg curvature is a weakly Landsberg metric. We find necessary and sufficient condition under which conformal β-change of anm-th root metric is locally dually flat. Finally, we prove that the conformal β-change of locally projectively flat m-th root metrics are locally Minkowskian. |
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