Some classes of projectively and dually flat Finsler spaces with Randers change
Abstract
In this paper, we consider Randers change of some special (α, β)- metrics. First we find the fundamental metric tensor and Cartan tensor of these Randers changed (α, β)- metrics. Next, we establish a general formula for inverse of fundamental metric tensors of these metrics. Finally, we find the necessary and sufficient conditions under which the Randers change of these (α, β)- metrics are projectively and locally dually flat.
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