Conformally flat statistical submanifolds and level surfaces

  • Keiko Uohashi (Tohoku Gakuin University, Tagajo, Miyagi, Japan)
University n.n. Universität Leipzig (Leipzig)


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.

02.08.10 06.08.10

Information Geometry and its Applications III

Universität Leipzig (Leipzig) University n.n. University n.n.

Antje Vandenberg

Max-Planck-Institut für Mathematik in den Naturwissenschaften Contact via Mail

Nihat Ay

Max Planck Institute for Mathematics in the Sciences, Germany

Paolo Gibilisco

Università degli Studi di Roma "Tor Vergata", Italy

František Matúš

Academy of Sciences of the Czech Republic, Czech Republic