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Author

Yi-Bo Chen

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Preprint Aug 2026

On low-dimensional uniform rectifiability in Heisenberg groups - Part 2

Let $1\leq k\leq n$. We prove that $k$-dimensional intrinsic Lipschitz graphs in the Heisenberg group $\mathbb{H}^n$ satisfy a geometric lemma $\mathrm{GLem}(\beta_{2,\mathcal{V}_k},p)$ for horizontal $\beta$-numbers with an exponent $p=p(k)$. Previously, this result was known only in the case $k=1$; our proof recovers...

Yi-Bo Chen, Katrin Fassler, Kilian Zambanini University of Jyväskylä et al. · 0 citations
Preprint Aug 2026

On low-dimensional uniform rectifiability in Heisenberg groups - Part 2

Let $1\leq k\leq n$. We prove that $k$-dimensional intrinsic Lipschitz graphs in the Heisenberg group $\mathbb{H}^n$ satisfy a geometric lemma $\mathrm{GLem}(\beta_{2,\mathcal{V}_k},p)$ for horizontal $\beta$-numbers with an exponent $p=p(k)$. Previously, this result was known only in the case $k=1$; our proof recovers...

Yi-Bo Chen, Katrin Fässler, Kilian Zambanini University of Jyväskylä et al. · 0 citations

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