Sub-Riemannian constant mean curvature surfaces in the Heisenberg group as limits

DOI10.1007/s10231-004-0106-8zbMath1098.53022OpenAlexW1998011114WikidataQ115385105 ScholiaQ115385105MaRDI QIDQ2505615

Yilong Ni

Publication date: 27 September 2006

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-004-0106-8

zbMATH Keywords

Heisenberg groupmean curvaturesub-Riemannian geometry

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Sub-Riemannian geometry (53C17)

Related Items (8)

Rotation surfaces of constant Gaussian curvature and mean curvature in sub-Riemannian Heisenberg space \(\mathbb H^1\) ⋮ Intrinsic curvature of curves and surfaces and a Gauss-Bonnet theorem in the Heisenberg group ⋮ A proof by calibration of an isoperimetric inequality in the Heisenberg group \({\mathbb{H}}^{n}\) ⋮ Area-stationary surfaces in the Heisenberg group \(\mathbb H^1\) ⋮ Heat content and horizontal mean curvature on the Heisenberg group ⋮ Rotationally invariant hypersurfaces with constant mean curvature in the Heisenberg group \(\mathbb H^n\) ⋮ Smoothness of Lipschitz minimal intrinsic graphs in Heisenberg groups , n > 1 ⋮ CMC spheres in the Heisenberg group

Cites Work

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• On the existence of slices for actions of non-compact Lie groups
• Invariant surfaces of the Heisenberg groups
• The Green function of model step two hypoelliptic operators and the analysis of certain tangential Cauchy Riemann complexes
• On the role of the Heisenberg group in harmonic analysis
• Geodesics in a Manifold with Heisenberg Group as Boundary

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