Dually Flat Manifolds and Global Information Geometry

Nihat Ay, and Wilderich Tuschmann
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Submission date: 05. Mar. 2002
Pages: 11
published in: Open systems & information dynamics, 9 (2002) 2, p. 195-200 
DOI number (of the published article): 10.1023/A:1015604927654
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Abstract:
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.