About Local Dual Flat Generalized (α, β) - Metrics

The notion of locally dually flat Finsler metrics are originated from information geome-try.Some special locally dually flat Finsler metrics had been studied.As we know,general (α,β)-metrics defined by a Riemannian metric a and a1-form β through a function (?) form an important class of Finsler metrics. In this paper,we study and give a characterization of locally dually flat general (α,β)-metrics on an n dimensional manifold M (n≥3), which generalizes some known results.