Isoperimetric inequalities and rational homotopy invariants

Abstract

We 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 figures

References in corpus (2)

• Directional isoperimetric inequalities and rational homotopy invariants
• Area-expanding embeddings of rectangles

Cited by in corpus (1)

• Directional isoperimetric inequalities and rational homotopy invariants