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

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dc.creatorCole, Daniel R.
dc.creatorPauls, Scott D.
dc.date2004-07-13
dc.date2005-11-01
dc.date.accessioned2026-07-07T06:38:39Z
dc.date.available2026-07-07T06:38:39Z
dc.descriptionWe 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.
dc.description8 pages, new version adds expository material and context to introduction and simplifies one aspect of the proof of the main theorem
dc.identifierhttps://arxiv.org/abs/math/0407223
dc.identifierhttp://arxiv.org/abs/math/0407223
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100814
dc.subjectDifferential Geometry
dc.subjectMetric Geometry
dc.subject53C17
dc.titleC^1 Hypersurfaces of the Heisenberg Group are N-Rectifiable
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