10 citations · 15 across the 5 of their papers we have counts for
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math.MG2026
On low-dimensional uniform rectifiability in Heisenberg groups - Part 2
Yibo Chen, Katrin Fässler, Kilian Zambanini
Let . We prove that -dimensional intrinsic Lipschitz graphs in the Heisenberg group satisfy a geometric lemma $\mathrm{GLem}(β_{2,\mathcal{V}_k},p)…
math.MG2018
Metric currents and the Poincaré inequality
Katrin Fässler, Tuomas Orponen
We show that a complete doubling metric space supports a weak -Poincaré inequality if and only if it admits a pencil of curves (PC) joining any pair of points $s,t \in…
math.MG2017★ 10 cited
Isometric Embeddings into Heisenberg Groups
Zoltán M. Balogh, Katrin Fässler, Hernando Sobrino
We study isometric embeddings of a Euclidean space or a Heisenberg group into a higher dimensional Heisenberg group, where both the source and target space are equipped with an arb…