Conformally flat statistical submanifolds and level surfaces
- Keiko Uohashi (Tohoku Gakuin University, Tagajo, Miyagi, Japan)
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.