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