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Note on coarea formulae in the Heisenberg group
Magnani, Valentino

Data: 2004
Resum: We show a first nontrivial example of coarea formula for vector-valued Lipschitz maps defined on the three dimensional Heisenberg group. In this coarea formula, integration on level sets is performed with respect to the 2-dimensional spherical Hausdorff measure, built by the Carnot-Carathéodory distance. The standard jacobian is replaced by the so called "horizontal jacobian", corresponding to the jacobian of the Pansu differential of the Lipschitz map. Joining previous results, we achieve all possible coarea formulae for Lipschitz maps defined on the Heisenberg group.
Drets: Tots els drets reservats.
Llengua: Anglès.
Document: Article ; recerca ; article ; publishedVersion
Matèria: Coarea formula ; Heisenberg group
Publicat a: Publicacions matematiques, V. 48 N. 2 (2004) , p. 409-422, ISSN 0214-1493

DOI: 10.5565/PUBLMAT_48204_07

14 p, 145.5 KB

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