Franchi, Bruno; Serapioni, Raul; Serra Cassano, Francesco Intrinsic Lipschitz graphs in Heisenberg groups. (English) Zbl 1151.58005 J. Nonlinear Convex Anal. 7, No. 3, 423-441 (2006). The Heisenberg groups \(\mathbb{H}^n\), or more general Carnot groups are intensively studied in last years. This article is devoted to the study of intrinsic Lipschitz graphs in Heisenberg groups, where intrinsic denotes properties defined only in terms of the group structure of \(\mathbb{H}^n\) or, equivalently, of its algebra \(\mathfrak{h}\). The other two sections are dedicated to the surface measure of Lipschitz graphs and rectifiable sets. Reviewer: Marian Ioan Munteanu (Iaşi) Cited in 2 ReviewsCited in 37 Documents MSC: 58C20 Differentiation theory (Gateaux, Fréchet, etc.) on manifolds 28A78 Hausdorff and packing measures 28A75 Length, area, volume, other geometric measure theory Keywords:Heisenberg groups; Carnot-Carathéodory distance; Hausdorff measure; intrinsic Lipschitz graph; Lipschitz map PDFBibTeX XMLCite \textit{B. Franchi} et al., J. Nonlinear Convex Anal. 7, No. 3, 423--441 (2006; Zbl 1151.58005)