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C^1 Hypersurfaces of the Heisenberg Group are N-Rectifiable

Daniel R. Cole·Scott D. Pauls
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Abstract

We show that C^1 hypersurfaces in the Heisenberg group are countably N-rectifiable. As a corollary, this shows that all C^1_H graphs over the xy-plane are countable N-rectifiable, showing the equivalence of this notion of rectifiability with that of Franchi, Serra Cassano and Serapioni for such surfaces.

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Daniel R. Cole, Scott D. Pauls. 2005-11-01. C^1 Hypersurfaces of the Heisenberg Group are N-Rectifiable. https://arxiv.org/abs/math/0407223

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