Dually Flat Manifolds and Global Information Geometry

Authors: Ay N.¹; Tuschmann W.²

Source: Open Systems and Information Dynamics, Volume 9, Number 2, 2002 , pp. 195-200(6)

Publisher: Springer

Abstract:

Dually flat manifolds constitute fundamental mathematical objects of information geometry. This note establishes several results 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.

Language: English

Document Type: Regular paper

Affiliations: 1: Max Planck Institute for Mathematics in the Sciences Inselstrasse, D-04103 Leipzig, Germany e-mail: nay@mis.mpg.de 2: Max Planck Institute for Mathematics in the Sciences Inselstrasse, D-04103 Leipzig, Germany e-mail: tusch@mis.mpg.de

Publication date: 2002-01-01

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• By this author: Ay N. ;  Tuschmann W.

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