Information Geometry and its Applications III

Abstract Keiko Uohashi

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Keiko Uohashi  (Tohoku Gakuin University, Japan)
Thursday, August 05, 2010, room Hörsaal 2
Conformally flat statistical submanifolds and level surfaces

We can consider a Hesse manifold a flat statistical manifold. In this talk we show that a level surface of the non-degenerate function on a Hesse manifold is a 1-conformally flat statistical submanifold. In addition we talk about conditions that a foliation of 1-conformally flat statistical manifolds generates a Hesse manifold.

Date and Location

August 02 - 06, 2010
University of Leipzig
04103 Leipzig

Scientific Organizers

Nihat Ay
Max Planck Institute for Mathematics in the Sciences
Information Theory of Cognitive Systems Group
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Paolo Gibilisco
Università degli Studi di Roma "Tor Vergata"
Facoltà di Economia
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František Matúš
Academy of Sciences of the Czech Republic
Institute of Information Theory and Automation
Czech Republic
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Scientific Committee

Shun-ichi Amari
Brain Science Institute, Mathematical Neuroscience Laboratory
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Imre Csiszár
Hungarian Academy of Sciences
Alfréd Rényi Institute of Mathematics
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Dénes Petz
Budapest University of Technology and Economics
Department for Mathematical Analysis
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Giovanni Pistone
Collegio Carlo Alberto, Moncalieri
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Administrative Contact

Antje Vandenberg
Max Planck Institute for Mathematics in the Sciences
Contact by Email
Phone: (++49)-(0)341-9959-552
Fax: (++49)-(0)341-9959-555

05.04.2017, 12:42