Abstract
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.
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Bibliography
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© 2012 Science Press Beijing and Springer-Verlag Berlin Heidelberg
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Cheng, X., Shen, Z. (2012). Dually Flat Randers Metrics. In: Finsler Geometry. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24888-7_10
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DOI: https://doi.org/10.1007/978-3-642-24888-7_10
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