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MiS Preprint
32/2022
Dualistic structures in information geometry
Léonard Todjihounde
Abstract
We revisit some important basics of dualistic structures on Riemannian manifolds as a fundamental mathematical concept connecting information geometry, affine geometry and Hessian geometry. Since several statistical manifolds can be seen as warped product of spaces, we conclude this review by some results on warped products of dualistic structures.
