Integrability of the sub-Riemannian mean curvature at degenerate characteristic points in the Heisenberg group

DOI10.1515/acv-2020-0098zbMath1503.53062arXiv2010.03480OpenAlexW3166342202WikidataQ115237066 ScholiaQ115237066MaRDI QIDQ2677301

Tommaso Rossi

Publication date: 13 January 2023

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.03480

zbMATH Keywords

integrabilityhorizontal mean curvaturedegenerate characteristic points

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Contact manifolds (general theory) (53D10) Sub-Riemannian geometry (53C17)

Related Items (1)

Intrinsic sub-Laplacian for hypersurface in a contact sub-Riemannian manifold

Cites Work

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• Steiner's formula in the Heisenberg group
• Constant mean curvature surfaces in sub-Riemannian geometry
• Trace theorem on the Heisenberg group
• On the Dido problem and plane isoperimetric problems
• Minimal surfaces in the Heisenberg group
• Gaffney-Friedrichs inequality for differential forms on Heisenberg groups
• Stable \(H\)-minimal hypersurfaces
• Sub-Riemannian calculus on hypersurfaces in Carnot groups
• Notion of convexity in Carnot groups
• Intrinsic curvature of curves and surfaces and a Gauss-Bonnet theorem in the Heisenberg group
• Heat content asymptotics for sub-Riemannian manifolds
• Integrability of the sub-Riemannian mean curvature of surfaces in the Heisenberg group
• Size of characteristic sets and functions with prescribed gradient
• A Comprehensive Introduction to Sub-Riemannian Geometry
• Heat content and horizontal mean curvature on the Heisenberg group
• Sur un théorème de traces. (On a trace theorem)

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