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Some classes of projectively and dually flat Finsler spaces with Randers change (1712.07865v1)
Published 21 Dec 2017 in math.DG
Abstract: In this paper, we consider Randers change of some special $ (\alpha, \beta)- $ metrics. First we find the fundamental metric tensor and Cartan tensor of these Randers changed $ (\alpha, \beta)- $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 $ (\alpha, \beta)- $ metrics are projectively and locally dually flat.
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