MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Dualistic structures in information geometry

Léonard Todjihounde


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.

Nov 15, 2022
Nov 15, 2022
MSC Codes:
53A15, 53B12, 53C15
connections, statistical manifolds, metrics,, divergence functions, warped products, curvature

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2022 Repository Open Access
Leonard Todjihounde

Dualistic structures in information geometry