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Intrinsic Lipschitz graphs in Heisenberg groups. (English) Zbl 1151.58005

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.

MSC:

58C20 Differentiation theory (Gateaux, Fréchet, etc.) on manifolds
28A78 Hausdorff and packing measures
28A75 Length, area, volume, other geometric measure theory
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