Dually flat Finsler spaces with transformed metrics

Current paper deals with the property of dually flatness of Finsler spaces with some special (α,β )-metrics constructed via Randers-β change. Here, we find necessary and sufficient conditions under which these (α,β )-metrics are locally dually flat. Finally, we conclude the relationship between locally dully flatness of these Randers-β change of Finsler metrics.

Keywords:

(α , β )-metric , β-change , Randers change , dually flatness