2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/173328A generalization of the notion of a (pseudo-) Riemannian space is proposed in a framework of noncommutative geometry. In particular, there are parametrized families of generalized Riemannian spaces which are deformations of classical geometries. We also introduce harmonic maps on generalized Riemannian spaces into Hopf algebras and make contact with integrable models in two dimensions.14 pages, LaTeXMathematical PhysicsGeneral Relativity and Quantum CosmologyHigh Energy Physics - TheoryQuantum AlgebraExactly Solvable and Integrable Systemstext