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International Conference on Geometric Science of Information

GSI 2013: Geometric Science of Information pp 283–292Cite as

Foliations on Affinely Flat Manifolds: Information Geometry

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Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 8085))

Abstract

In Section 1 we recall some information about KV-algebras of locally flatmanifolds and associated cohomologies. Section 2 is devoted to discussions about information geometry, pairs of dual connections and associated foliations. In the final sections examples and possible classification in dimension 3 and 4 are suggested.

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Author information

Authors and Affiliations

  1. UMR CNRS 5149, 3M Département de Mathématiques et de Modélisation Université, Montpellier 2, Montpellier, France

    Michel Nguiffo Boyom & Robert Wolak

Authors
  1. Michel Nguiffo Boyom
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  2. Robert Wolak
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Editor information

Editors and Affiliations

  1. Sony Computer Science Laboratories Inc, Tokyo, Japan

    Frank Nielsen

  2. Thales Land Air Systems, 91470, Limours, France

    Frédéric Barbaresco

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Boyom, M.N., Wolak, R. (2013). Foliations on Affinely Flat Manifolds: Information Geometry. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2013. Lecture Notes in Computer Science, vol 8085. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40020-9_30

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  • DOI: https://doi.org/10.1007/978-3-642-40020-9_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-40019-3

  • Online ISBN: 978-3-642-40020-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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