most citedC^1 Hypersurfaces of the Heisenberg Group are N-Rectifiable

16 citations · 34 across the 3 of their papers we have counts for

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math.DG2005★ 13 cited

Constant mean curvature surfaces in sub-Riemannian geometry

Robert K. Hladky, Scott D. Pauls

We investigate the minimal and isoperimetric surface problems in a large class of sub-Riemannian manifolds, the so-called Vertically Rigid spaces. We construct an adapted connectio…

math.DG2005★ 5 cited

H-minimal graphs of low regularity in the Heisenberg group

Scott D. Pauls

In this paper we investigate H-minimal graphs of lower regularity. We show that noncharactersitic C^1 H-minimal graphs whose components of the unit horizontal Gauss map are in W^{1…

math.DG2004★ 16 cited

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

Daniel R. Cole, Scott D. Pauls

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,…