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Area implies coarea

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Publication:2884642
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DOI10.1512/IUMJ.2011.60.4172zbMath1276.28013OpenAlexW2324109648MaRDI QIDQ2884642

Valentino Magnani

Publication date: 30 May 2012

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/4a996f623493d6b640cd7d802e2b366e0b17d560


zbMATH Keywords

Heisenberg groupssub-Riemannian manifoldsLipschitz mappingco-area formula


Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Nilpotent and solvable Lie groups (22E25)


Related Items (5)

Area of intrinsic graphs and coarea formula in Carnot groups ⋮ A reverse coarea-type inequality in Carnot groups ⋮ Area formula for regular submanifolds of low codimension in Heisenberg groups ⋮ Intrinsic regular surfaces of low codimension in Heisenberg groups ⋮ Aspects of area formulas by way of Luzin, Radó, and Reichelderfer on metric measure spaces







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