Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran. Iran. E-mail: t.tabatabaeifar@aut.ac.ir
In this paper, we prove that every generalized cubic Finsler metric with vanishing Landsberg curvature is a Berwald metric. This yields an extension of Matsumoto theorem for the cubic metric. Then, we show that every generalized 4-th root Finsler metric with vanishing Landsberg curvature is a Berwald metric.
Tabatabaeifar, T. (2020). On generalized 4-th root Finsler metrics. Journal of Finsler Geometry and its Applications, 1(1), 54-59. doi: 10.22098/jfga.2020.1010
MLA
Tayebeh Tabatabaeifar. "On generalized 4-th root Finsler metrics". Journal of Finsler Geometry and its Applications, 1, 1, 2020, 54-59. doi: 10.22098/jfga.2020.1010
HARVARD
Tabatabaeifar, T. (2020). 'On generalized 4-th root Finsler metrics', Journal of Finsler Geometry and its Applications, 1(1), pp. 54-59. doi: 10.22098/jfga.2020.1010
VANCOUVER
Tabatabaeifar, T. On generalized 4-th root Finsler metrics. Journal of Finsler Geometry and its Applications, 2020; 1(1): 54-59. doi: 10.22098/jfga.2020.1010
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