Lipschitz connectivity and filling invariants in solvable groups and buildings

الأصل · EN

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.