On dually flat (α,β)(α,β)-metrics

The dual flatness for Riemannian metrics in information geometry has been extended to Finsler metrics. The aim of this paper is to study the dual flatness of the so-called (α,β)(α,β)-metrics in Finsler geometry. By doing some special deformations, we will show that the dual flatness of an (α,β)(α,β)-metric always arises from that of some Riemannian metric in dimensional n⩾3n⩾3.