Isoperimetric inequalities and rational homotopy invariants
Differential Geometry
2008-02-26 v1
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.
Keywords
Cite
@article{arxiv.0802.3550,
title = {Isoperimetric inequalities and rational homotopy invariants},
author = {Larry Guth},
journal= {arXiv preprint arXiv:0802.3550},
year = {2008}
}
Comments
15 pages, 4 figures