Isoperimetric inequalities and rational homotopy invariants

Details Isoperimetric inequalities and rational homotopy invariants Isoperimetric inequalities and rational homotopy invariants

2008-02-25

arxiv.org/abs/0802.3550v1

Mathematics

Differential Geometry

15 pages, 4 figures

Scientific paper

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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