C¹ Hypersurfaces of the Heisenberg Group are N-Rectifiable
classification
🧮 math.DG
math.MG
keywords
n-rectifiablegroupheisenberghypersurfacescassanocorollarycountablecountably
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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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