A partial solution of the isoperimetric problem for the Heisenberg group
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Publication:5451987
DOI10.1515/FORUM.2008.005zbMath1142.53021arXivmath/0601412OpenAlexW2067582543MaRDI QIDQ5451987
Nicola Garofalo, Donatella Danielli, Duy-Minh Nhieu
Publication date: 27 March 2008
Published in: Forum Mathematicum (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0601412
Optimality conditions for problems involving partial differential equations (49K20) Sub-Riemannian geometry (53C17)
Related Items (17)
Integrability of the sub-Riemannian mean curvature of surfaces in the Heisenberg group ⋮ Weighted quantitative isoperimetric inequalities in the Grushin space \({R}^{h+1}\) with density \(| x|^{p}\) ⋮ Sub-Riemannian calculus on hypersurfaces in Carnot groups ⋮ On iterations of Steiner symmetrizations ⋮ Intrinsic curvature of curves and surfaces and a Gauss-Bonnet theorem in the Heisenberg group ⋮ Cauchy's surface area formula in the Heisenberg groups ⋮ Pansu-Wulff shapes in \(\mathbb{H}^1\) ⋮ The isoperimetric problem in the Heisenberg group \(\mathbb{H}^n\) with density ⋮ Free boundary constant p-mean curvature surfaces intersecting the Pansu sphere ⋮ A proof by calibration of an isoperimetric inequality in the Heisenberg group \({\mathbb{H}}^{n}\) ⋮ Regularity of Lipschitz boundaries with prescribed sub-Finsler mean curvature in the Heisenberg group \(\mathbb{H}^1\) ⋮ Area-stationary surfaces in the Heisenberg group \(\mathbb H^1\) ⋮ Sub-Riemannian calculus and monotonicity of the perimeter for graphical strips ⋮ Collapsing Riemannian Metrics to Sub-Riemannian and the Geometry of Hypersurfaces in Carnot Groups ⋮ Minimal surfaces in the roto-translation group with applications to a neuro-biological image completion model ⋮ Properties of a frequency of Almgren type for harmonic functions in Carnot groups ⋮ A weighted quantitative isoperimetric inequality for Korányi sphere in Heisenberg group ℍ^n
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