A coarea formula for smooth contact mappings of Carnot manifolds

DOI10.1134/S1064562407060257zbMath1153.53056OpenAlexW4237034702MaRDI QIDQ957822

M. B. Karmanova, Sergei Vodop'yanov

Publication date: 1 December 2008

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

Full work available at URL: https://doi.org/10.1134/s1064562407060257

zbMATH Keywords

minimal surfacecoarea formulaCarnot groupsCarnot manifoldStokes formula

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Integral geometry (53C65)

Related Items (6)

The tangent cone to a quasimetric space with dilations ⋮ The graphs of Lipschitz functions and minimal surfaces on Carnot groups ⋮ Graphs of Lipschitz functions and minimal surfaces on Carnot groups ⋮ An area formula for Lipschitz mappings of Carnot-Carathéodory spaces ⋮ Characteristic sets for smooth contact mappings of Carnot-Carathéodory spaces ⋮ An area formula for \(C^{1}\)-smooth contact mappings of Carnot manifolds

Cites Work

• Unnamed Item
• Rectifiable sets and the coarea formula for metric-valued mappings
• Rectifiable sets in metric and Banach spaces
• Blow-up of regular submanifolds in Heisenberg groups and applications
• Local geometry of Carnot manifolds under minimal smoothness
• Normal and integral currents

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