Isoperimetric inequalities and rational homotopy invariants

Larry Guth

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arXiv · 0802.3550

Isoperimetric inequalities and rational homotopy invariants

Larry Guth

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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.

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Larry Guth. 2008-02-25. Isoperimetric inequalities and rational homotopy invariants. https://arxiv.org/abs/0802.3550

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