Characterization of weakly Berwald fourth root metrics

  • N. Abazari
  • T. R. Khoshdani

Abstract

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.
Published
25.07.2019
How to Cite
Abazari, N., and T. R. Khoshdani. “Characterization of Weakly Berwald Fourth Root Metrics”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, no. 7, July 2019, pp. 976-95, http://umj.imath.kiev.ua/index.php/umj/article/view/1491.
Section
Research articles