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

Dually Flat Manifolds and Global Information Geometry

Nihat Ay and Wilderich Tuschmann


Dually flat manifolds constitute fundamental mathematical objects of information geometry. This note establishes some facts on the global properties and topology of dually flat manifolds which, in particular, provide answers to questions and problems in global information geometry posed by Amari and Amari-Nagaoka.


Related publications

2002 Repository Open Access
Nihat Ay and Wilderich Tuschmann

Dually flat manifolds and global information geometry

In: Open systems and information dynamics, 9 (2002) 2, pp. 195-200