Quasi-Frobenius algebras and their integrable N-parametric deformations   generated by compatible (N x N)-metrics of constant Riemannian curvature
  We prove that the description of pencils of compatible (N x N)-metrics of constant Riemannian curvature is equivalent to a special class of integrable N-parametric deformations of quasi-Frobenius (in general, noncommutative) algebras. 
O. I. Mokhov