Calculus of Variations and Geometric Measure Theory

A. Julia - S. Nicolussi Golo

Intrinsic rectifiability via flat cones in the Heisenberg group

created by nicolussigolo on 23 Mar 2020



Inserted: 23 mar 2020
Last Updated: 23 mar 2020

Year: 2020

ArXiv: 2003.09196 PDF


We give a geometric criterion for a topological surface in the first Heisenberg group to be an intrinsic Lipschitz graph, using planar cones instead of the usual open cones.

Keywords: Heisenberg group, sub-Riemannian geometry, Intrinsic Lipschitz graphs