On S-3 like four-dimensional Finsler spaces

Acta Mathematica Academiae Paedagogicae Nyíregyháziensis

ey¹  M. K. Gupta¹  P. N. P¹ 

[1] Guru Ghasidas Vishwavidyalaya and University of Allahabad

关键词: S-3 like space;   

DOI  :  

学科分类：数学（综合）

来源: Academia Paedagogica Nyiregyhaziensis. Acta Mathematica

【 摘 要 】

In 1977, M. Matsumoto and R. Miron constructed an orthonormal frame for an $n$-dimensional Finsler space, called `Miron frame'. The present authors discussed four-dimensional Finsler spaces equipped with such frame. M. Matsumoto proved that in a three-dimensional Berwald space, all the main scalars are h-covariant constants and the h-connection vector vanishes. He also proved that in a three-dimensional Finsler space satisfying T-condition, all the main scalars are functions of position only and the v-connection vector vanishes. The purpose of the present paper is to generalize these results for an S-3 like four-dimensional Finsler space.

【 授权许可】

Unknown