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On Kropina Change for mth Root Finsler Metrics

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Ukrainian Mathematical Journal Aims and scope

We study the Kropina change for mth root Finsler metrics and establish necessary and sufficient condition under which the Kropina change of an mth root Finsler metric is locally dually flat. Then we prove that the Kropina change of an mth root Finsler metric is locally projectively flat if and only if it is locally Minkowskian.

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Authors and Affiliations

  1. University of Qom, Qom, Iran

    A. Tayebi & T. Tabatabaeifar

  2. Arak University, Arak, Iran

    E. Peyghan

Authors
  1. A. Tayebi
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  2. T. Tabatabaeifar
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  3. E. Peyghan
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Additional information

Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 1, pp. 140–144, January, 2014.

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Tayebi, A., Tabatabaeifar, T. & Peyghan, E. On Kropina Change for mth Root Finsler Metrics. Ukr Math J 66, 160–164 (2014). https://doi.org/10.1007/s11253-014-0919-6

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  • DOI: https://doi.org/10.1007/s11253-014-0919-6

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