Conformally related invariant (α,β)-metrics on homogeneous spaces
Abstract
In this paper, we give the flag curvature formula of general (α,β)-metrics of Berwald type. We study conformally related (α,β)-metrics, especially general (α,β)-metrics that are conformally related to invariant (α,β)-metrics. Also, a necessary and sufficient condition for a Finsler metric conformally related to an (α,β)-metric is given, and conformally related Douglas Randers metrics are studied. Finally, we present some examples of conformally related (α,β)-metrics.
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