Lipschitz connectivity and filling invariants in solvable groups and buildings

Abstract

We give some new methods, based on Lipschitz extension theorems, for bounding filling invariants of subsets of nonpositively curved spaces. We apply our methods to find sharp bounds on higher-order Dehn functions of Sol_{2n+1}, horospheres in euclidean buildings, Hilbert modular groups, and certain S-arithmetic groups.

32 pages, 2 figures; minor revisions

References in corpus (3)

• Metabelian groups with quadratic Dehn function and Baumslag-Solitar groups
• Pushing fillings in right-angled Artin groups
• Spherical subcomplexes of spherical buildings

Cited by in corpus (3)

• Approximating spaces of Nagata dimension zero by weighted trees
• Erratum: Lipschitz connectivity and filling invariants in solvable groups and buildings
• Lipschitz extension theorems with explicit constants