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 Sol2n+1, horospheres in euclidean buildings, Hilbert modular groups, and certain S-arithmetic groups.
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