Hiroshi Sakamoto

A Born structure on the tangent bundle of a Hessian manifold

Abstract The Hessian structure is a geometric structure consisting of a pair $$(\nabla ,g)$$ ( ∇ , g ) of an affine connection $$\nabla $$ ∇ and a Riemannian metric g satisfying certain compatibility conditions. In information geometry, it is also known as a dually flat structure...