Hessian manifolds of nonpositive constant Hessian sectional curvature
Hessian manifolds of nonpositive constant Hessian sectional curvature
We classify the maximal Hessian manifolds of constant Hessaian sectional curvature nonpositive. Introduction.Hessian geometry is a close relative of Kählerian geometry, and connected with many interesting fields such as affine differential geometry and information geometry.It was founded and deeply studied by J. L. Koszul, H. Shima and others.A systematic introduction …