On a four-dimensional Berwald space with vanishing h-connection vector $ k_i$

Abstract

M. Matsumoto and R. Miron [2]$ ^{1)} $ constructed an orthonormal frame for an $ n $-dimensional Finsler space and the frame was called `Miron frame'. T. N. Pandey and D. K. Diwedi [3] and the present authors [4] studied four-dimensional Finsler spaces in terms of scalars. In the present paper, we study a four-dimensional Berwald space with vanishing $ h $-connection vector $ k_i $.