The notion of dually flat metrics was first introduced by Amari and Nagaoka ([AmNa]) when they study the information geometry on Riemann spaces. Later on, Shen extends the notion of dually flatness to Finsler metrics ([Sh]). Locally dually flat Finsler metrics are studied in Finsler information geometry and naturally arise from the investigation on so-called flat information structure.
KeywordsOpen Subset Scalar Function Riemann Space Irreducible Polynomial Finsler Space
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- [AmNa]S.-I. Amari and H. Nagaoka, Methods of Information Geometry, AMS Translation of Math. Monographs, 191, Oxford University Press, 2000.Google Scholar