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

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

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Differential Geometry, Metric Geometry, 53C17

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http://salesiana.dossiersoluciones.com/handle/123456789/100814

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0407223
 http://arxiv.org/abs/math/0407223

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arXiv