A short proof of Gromov's filling inequality

Details A short proof of Gromov's filling inequality A short proof of Gromov's filling inequality

2007-03-29

arxiv.org/abs/math/0703889v1

Mathematics

Differential Geometry

4 pages

Scientific paper

We give a very short and rather elementary proof of Gromov's filling volume
inequality for n-dimensional Lipschitz cycles (with integer and
Z_2-coefficients) in $L^\infty$-spaces. This inequality is used in the proof of
Gromov's systolic inequality for closed aspherical Riemannian manifolds and is
often regarded as the difficult step therein.

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