Abstract
We have considered one affine connection, namely the Levi–Civita connection, in a Riemannian manifold M. However, we can establish a new edifice of differential geometry, by treating a pair of affine connections which are dually coupled with respect to the Riemannian metric.
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© 2016 Springer Japan
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Amari, Si. (2016). Dual Affine Connections and Dually Flat Manifold. In: Information Geometry and Its Applications. Applied Mathematical Sciences, vol 194. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55978-8_6
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DOI: https://doi.org/10.1007/978-4-431-55978-8_6
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Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-55977-1
Online ISBN: 978-4-431-55978-8
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