2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/98069We 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.13 pagesDifferential GeometryHigh Energy Physics - TheoryMathematical PhysicsRings and AlgebrasSymplectic GeometryExactly Solvable and Integrable SystemsQuasi-Frobenius algebras and their integrable N-parametric deformations generated by compatible (N x N)-metrics of constant Riemannian curvaturetext