On generalized 4-th root Finsler metrics

Document Type : Original Article

Author

Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran. Iran. E-mail: t.tabatabaeifar@aut.ac.ir

Abstract

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.

Keywords

References

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Journal of Finsler Geometry and its Applications
Volume 1, Issue 1
July 2020
Pages 54-59

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