A proof by calibration of an isoperimetric inequality in the Heisenberg group \({\mathbb{H}}^{n}\)

From MaRDI portal
Publication:2428585

DOI10.1007/s00526-011-0425-8zbMath1244.53041arXiv0803.1313OpenAlexW2962763576WikidataQ125735316 ScholiaQ125735316MaRDI QIDQ2428585

Manuel Ritoré

Publication date: 26 April 2012

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.1313




Related Items (25)

The Isoperimetric Problem in Carnot-Caratéodory SpacesWeighted quantitative isoperimetric inequalities in the Grushin space \({R}^{h+1}\) with density \(| x|^{p}\)Strong maximum principle for mean curvature operators on subRiemannian manifoldsRigidity of the Pu inequality and quadratic isoperimetric constants of normed spacesRegularity for subelliptic PDE through uniform estimates in multi-scale geometriesA minimal partition problem with trace constraint in the Grushin planeExistence, characterization and stability of Pansu spheres in sub-Riemannian 3-space formsQuantitative isoperimetric inequalities in \(\mathbb H^n\)Pansu-Wulff shapes in \(\mathbb{H}^1\)The isoperimetric problem in the Heisenberg group \(\mathbb{H}^n\) with densityFree boundary constant p-mean curvature surfaces intersecting the Pansu sphereThe differential geometry of curves in the Heisenberg groupsArea-minimizing properties of Pansu spheres in the sub-Riemannian 3-sphereAn instability criterion for volume-preserving area-stationary surfaces with singular curves in sub-Riemannian 3-space formsTubular neighborhoods in the sub-Riemannian Heisenberg groupsSets with finite \(\mathbb{H}\)-perimeter and controlled normalRegularity of Lipschitz boundaries with prescribed sub-Finsler mean curvature in the Heisenberg group \(\mathbb{H}^1\)The fundamental theorem for hypersurfaces in Heisenberg groupsUmbilicity and characterization of Pansu spheres in the Heisenberg groupSub-Riemannian calculus and monotonicity of the perimeter for graphical stripsCollapsing Riemannian Metrics to Sub-Riemannian and the Geometry of Hypersurfaces in Carnot GroupsIsoperimetric inequality under measure-contraction propertyCMC spheres in the Heisenberg groupThe isoperimetric problem for regular and crystalline norms in \({\mathbb{H}}^1\)A weighted quantitative isoperimetric inequality for Korányi sphere in Heisenberg group ℍ^n



Cites Work


This page was built for publication: A proof by calibration of an isoperimetric inequality in the Heisenberg group \({\mathbb{H}}^{n}\)