Height estimate and slicing formulas in the Heisenberg group
Classical Analysis and ODEs
2016-01-20 v1
Abstract
We prove a height-estimate (distance from the tangent hyperplane) for -minima of the perimeter in the sub-Riemannian Heisenberg group. The estimate is in terms of a power of the excess (-mean oscillation of the normal) and its proof is based on a new coarea formula for rectifiable sets in the Heisenberg group.
Keywords
Cite
@article{arxiv.1410.1763,
title = {Height estimate and slicing formulas in the Heisenberg group},
author = {Roberto Monti and Davide Vittone},
journal= {arXiv preprint arXiv:1410.1763},
year = {2016}
}