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Some properties of m-th root Finsler metrics

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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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Authors and Affiliations

  1. University of Qom, Qom, Iran

    A. Tayebi & A. Nankali

  2. Arak University, Arak, Iran

    E. Peyghan

Authors
  1. A. Tayebi
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  2. A. Nankali
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  3. E. Peyghan
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Corresponding author

Correspondence to A. Tayebi.

Additional information

Original Russian Text © A. Tayebi, A. Nankali, E. Peyghan, 2014, published in Izvestiya NAN Armenii. Matematika, 2014, No. 4, pp. 61–76.

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Tayebi, A., Nankali, A. & Peyghan, E. Some properties of m-th root Finsler metrics. J. Contemp. Mathemat. Anal. 49, 184–193 (2014). https://doi.org/10.3103/S1068362314040049

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  • DOI: https://doi.org/10.3103/S1068362314040049

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