2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/155569We estimate the linear isoperimetric constants of an n-dimensional ellipse. Using these estimates and a technique of Gromov, we estimate the Hopf and linking invariants of Lipschitz maps from ellipses to round spheres. Using these estimates, we give a lower bound for the k-dilation of degree non-zero maps between ellipses.15 pages, 4 figuresDifferential Geometry53C23Isoperimetric inequalities and rational homotopy invariantstext