We show that a statistical manifold of constant non-zero curvature
can be realised as a level set of Hessian potential on a Hessian
cone. We construct a Sasakian structure on
by
a statistical manifold of constant non-zero curvature on . By a
statistical Lie algebra of constant non-zero Lie algebra we
construct a l.c.K. Lie algebra.

Key Words: Statistical manifolds, l.c.K. manifolds, Hessian manifolds, geometric structures on Lie groups and algebras.

2010 Mathematics Subject Classification: 53C15.

Download the paper in pdf format here.