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math.MG2019
Non-Euclidean isoperimetric inequalities for nilpotent Lie groups
Moritz Gruber
This article treats isoperimetric inequalities for integral currents in the setting of stratified nilpotent Lie groups equipped with left-invariant Riemannian metrics. We prove tha…
math.MG2018
Higher divergence for nilpotent groups
Moritz Gruber
The higher divergence of a metric space describes its isoperimetric behaviour at infinity. It is closely related to the higher-dimensional Dehn functions, but has more requirements…