On dually flat -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 ) -metrics in Finsler geometry. By doing some special deformations, we will show that the dual flatness of an ( α , β ) -metric always arises from that of some Riemannian metric in dimensional n ⩾ 3 .