An area formula for Lipschitz mappings of Carnot-Carathéodory spaces

DOI10.1134/S1064562408060252zbMath1216.53038arXiv1110.5483MaRDI QIDQ542284

M. B. Karmanova

Publication date: 8 June 2011

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.5483

zbMATH Keywords

\(hc\)-differentiabilitylocal Camot groupssub-Riemannian area formula

Mathematics Subject Classification ID

Sub-Riemannian geometry (53C17)

Related Items (4)

Convergence of scaled vector fields and local approximation theorem on Carnot-Carathéodory spaces and applications ⋮ Tubular neighborhoods in the sub-Riemannian Heisenberg groups ⋮ The graphs of Lipschitz functions and minimal surfaces on Carnot groups ⋮ Graphs of Lipschitz functions and minimal surfaces on Carnot groups

Cites Work

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• A coarea formula for smooth contact mappings of Carnot manifolds
• An area formula for \(C^{1}\)-smooth contact mappings of Carnot manifolds
• Sub-Riemannian geometry for vector fields of minimal smoothness
• Rectifiable sets in metric and Banach spaces
• A notion of rectifiability modeled on Carnot groups

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