2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/132755his paper proposes a sensible definition of a deformation metric between 2-dimensional surfaces obtained from each other by an area preserving (incompressible) mapping, and an algorithm for obtaining this metric, as well as the optimal deformation.Analysis of PDEsDynamical Systems37D10, 35A15, 49Q10, 70G65text