Directional isoperimetric inequalities and rational homotopy invariants

Details Directional isoperimetric inequalities and rational homotopy invariants Directional isoperimetric inequalities and rational homotopy invariants

2008-02-24

arxiv.org/abs/0802.3549v1

Mathematics

Differential Geometry

21 pages, 5 figures

Scientific paper

We estimate the second order linking invariants of Lipschitz maps from an
n-dimensional ellipse. The estimate uses a new directionally-dependent version
of the isoperimetric inequality for cycles inside the ellipse. Using this work,
we prove new lower bounds for the k-dilation of maps from one ellipse to
another.

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