THE m-TH ROOT FINSLER METRICS ADMITTING (α, β)-TYPES

• Published : 2004.02.01
• 57 16

Abstract

The theory of m-th root metric has been developed by H. Shimada [8], and applied to the biology [1] as an ecological metric. The purpose of this paper is to introduce the m-th root Finsler metrics which admit ($\alpha,\;\beta$)-types. Especially in cases of m = 3, 4, we give the condition for Finsler spaces with such metrics to be locally Minkowski spaces.

Keywords

Berwald space;locally Minkowski;m-th root metric

References

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Cited by

1. On an R-Randersmth-Root Space vol.2013, 2013, https://doi.org/10.1155/2013/649168
2. Projectively Flat Fourth Root Finsler Metrics vol.55, pp.01, 2012, https://doi.org/10.4153/CMB-2011-056-5