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

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

2004-07-13

arxiv.org/abs/math/0407223v3

Mathematics

Differential Geometry

8 pages, new version adds expository material and context to introduction and simplifies one aspect of the proof of the main t

Scientific paper

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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