Open Access
November 2018 Information geometry in a global setting
Atsuhide Mori
Hiroshima Math. J. 48(3): 291-305 (November 2018). DOI: 10.32917/hmj/1544238029

Abstract

We begin a global study of information geometry. In this article, we describe the geometry of normal distributions by means of positive and negative contact structures associated to the suspension Anosov flows on $Sol^3$-manifolds.

Citation

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Atsuhide Mori. "Information geometry in a global setting." Hiroshima Math. J. 48 (3) 291 - 305, November 2018. https://doi.org/10.32917/hmj/1544238029

Information

Received: 6 January 2017; Revised: 8 June 2018; Published: November 2018
First available in Project Euclid: 8 December 2018

zbMATH: 07032359
MathSciNet: MR3885263
Digital Object Identifier: 10.32917/hmj/1544238029

Subjects:
Primary: 57R17 , 57R30 , 62B10

Keywords: contact structure , Foliation , information geometry

Rights: Copyright © 2018 Hiroshima University, Mathematics Program

Vol.48 • No. 3 • November 2018
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