%0 Journal Article
%T Height estimate and slicing formulas in the Heisenberg group
%A Roberto Monti
%A Davide Vittone
%J Mathematics
%D 2014
%I arXiv
%X We prove a height-estimate (distance from the tangent hyperplane) for $\Lambda$-minima of the perimeter in the sub-Riemannian Heisenberg group. The estimate is in terms of a power of the excess ($L^2$-mean oscillation of the normal) and its proof is based on a new coarea formula for rectifiable sets in the Heisenberg group.
%U http://arxiv.org/abs/1410.1763v1