We study the notion of intrinsic Lipschitz graphs within Heisenberg groups, focusing our attention on their Hausdorff dimension and on almost everywhere existence of (geometrically defined) tangent subgroups. In particular, a Rademacher type theorem enables us to prove that previous definitions of rectifiable sets in Heisenberg groups are natural ones.

Differentiability of intrinsic Lipschitz functions within Heisenberg groups

FRANCHI, BRUNO;
2011

Abstract

We study the notion of intrinsic Lipschitz graphs within Heisenberg groups, focusing our attention on their Hausdorff dimension and on almost everywhere existence of (geometrically defined) tangent subgroups. In particular, a Rademacher type theorem enables us to prove that previous definitions of rectifiable sets in Heisenberg groups are natural ones.
B. Franchi; R. Serapioni; F. Serra Cassano
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/110395
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