A SHORT PROOF OF GROMOV'S FILLING INEQUALITY

By S. Wenger. 2007

48 citations recorded by the source corpus.

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∞-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.

Subfields: Applied Mathematics, Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/a243c91a067bef5ec5c95769020cfdb40f8e2add

Citations in the corpus

• Metaphors in Systolic Geometry (2010, unknown): “The proof was further simplified and generalized by Wenger in [35].”