Filling inequalities do not depend on topology

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dc.creatorBrunnbauer, Michael
dc.date2007-06-19
dc.date2008-04-24
dc.date.accessioned2026-07-07T09:34:08Z
dc.date.available2026-07-07T09:34:08Z
dc.descriptionGromov's universal filling inequalities relate the filling radius and the filling volume of a Riemannian manifold to its volume. The main result of the present article is that in dimensions at least three the optimal constants in the filling inequalities depend only on dimension and orientability, not on the manifold itself. This contrasts with the analogous situation for the optimal systolic inequality, which does depend on the manifold.
dc.description13 pages. Corrected some minor errors. To appear in Journal für die reine und angewandte Mathematik (Crelle's Journal)
dc.identifierhttps://arxiv.org/abs/0706.2790
dc.identifierhttp://arxiv.org/abs/0706.2790
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159378
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.subject53C23; 53C20
dc.titleFilling inequalities do not depend on topology
dc.typetext

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