Intersections of intrinsic submanifolds in the Heisenberg group

DOI10.1016/j.jmaa.2010.12.052zbMath1220.53074arXiv1009.5302OpenAlexW2148083062MaRDI QIDQ631835

Gian Paolo Leonardi, Valentino Magnani

Publication date: 14 March 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.5302

zbMATH Keywords

Heisenberg grouplevel setregular surface

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Sub-Riemannian geometry (53C17)

Related Items (3)

Area of intrinsic graphs and coarea formula in Carnot groups ⋮ Rank-one theorem and subgraphs of BV functions in Carnot groups ⋮ One-Dimensional Level Sets of hc-Differentiable Mappings of Carnot–Carathéodory Spaces

Cites Work

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• Intrinsic regular hypersurfaces in Heisenberg groups
• Intrinsic regular submanifolds in Heisenberg groups are differentiable graphs
• Regular submanifolds, graphs and area formula in Heisenberg groups
• Distributional solutions of Burgers' equation and intrinsic regular graphs in Heisenberg groups
• Continuous solutions for balance laws
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Rectifiability and perimeter in the Heisenberg group

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