Integrability of the sub-Riemannian mean curvature of surfaces in the Heisenberg group
From MaRDI portal
Publication:2880641
DOI10.1090/S0002-9939-2011-11058-XzbMath1357.49144WikidataQ115289263 ScholiaQ115289263MaRDI QIDQ2880641
Nicola Garofalo, Donatella Danielli, Duy-Minh Nhieu
Publication date: 13 April 2012
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
minimal surfacesintegration by parts\(H\)-mean curvaturefirst and second variationmonotonicity of the \(H\)-perimeter
Related Items (13)
Heat content asymptotics for sub-Riemannian manifolds ⋮ Unnamed Item ⋮ Intrinsic curvature of curves and surfaces and a Gauss-Bonnet theorem in the Heisenberg group ⋮ Integrability of the sub-Riemannian mean curvature at degenerate characteristic points in the Heisenberg group ⋮ Intrinsic sub-Laplacian for hypersurface in a contact sub-Riemannian manifold ⋮ Surfaces of genus g ≥ 1 in 3D contact sub-Riemannian manifolds ⋮ Gauss-Bonnet theorems in the BCV spaces and the twisted Heisenberg group ⋮ Isoperimetric inequality in the Grushin plane ⋮ Heat content and horizontal mean curvature on the Heisenberg group ⋮ Uniqueness of generalized \(p\)-area minimizers and integrability of a horizontal normal in the Heisenberg group ⋮ Stochastic processes on surfaces in three-dimensional contact sub-Riemannian manifolds ⋮ Stable \(H\)-minimal hypersurfaces ⋮ On the induced geometry on surfaces in 3D contact sub-Riemannian manifolds
Cites Work
- Characteristic points, rectifiability and perimeter measure on stratified groups
- Area-stationary surfaces in the Heisenberg group \(\mathbb H^1\)
- Sub-Riemannian calculus on hypersurfaces in Carnot groups
- Size of characteristic sets and functions with prescribed gradient
- A partial solution of the isoperimetric problem for the Heisenberg group
- Unnamed Item
- Unnamed Item
This page was built for publication: Integrability of the sub-Riemannian mean curvature of surfaces in the Heisenberg group
