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Characterization of Weakly Berwald Fourth-Root Metrics

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Ukrainian Mathematical Journal Aims and scope

In recent studies, it has been shown that the theory of fourth-root metrics plays a very important role in physics, theory of space-time structures, gravitation, and general relativity. The class of weakly Berwald metrics contains the class of Berwald metrics as a special case. We establish necessary and sufficient conditions under which the fourth-root Finsler space with an (α, β)-metric is a weakly Berwald space.

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Authors and Affiliations

  1. Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran

    T. R. Khoshdani & N. Abazari

Authors
  1. T. R. Khoshdani
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  2. N. Abazari
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Correspondence to T. R. Khoshdani.

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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, No. 7, pp. 976–995, July, 2019

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Khoshdani, T.R., Abazari, N. Characterization of Weakly Berwald Fourth-Root Metrics. Ukr Math J 71, 1115–1137 (2019). https://doi.org/10.1007/s11253-019-01702-y

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  • DOI: https://doi.org/10.1007/s11253-019-01702-y

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