Characterization of weakly Berwald fourth root metrics

  • N. Abazari
  • T. R. Khoshdani


UDC 514.7
In recent studies, it is 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 the necessary and sufficient condition under which the fourth root Finsler space with an $(\alpha, \beta)$-metric is a weakly Berwald space.
How to Cite
AbazariN., and KhoshdaniT. R. “Characterization of Weakly Berwald Fourth Root Metrics”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, no. 7, July 2019, pp. 976-95,
Research articles