Hyperbolicity of the Compact Leaves of Statistical Manifold Foliations
Michel Boyom, Emmanuel Gnandi et Stéphane Puechmorel
Résumé
In this work, we show a construction of a Hessian foliation on a statistical manifold. Our results provide conditions, under which the compacts hessian leaves (up to diffeomorphism) are quotients of homogeneous convex cones.