Tubular neighborhoods in the sub-Riemannian Heisenberg groups
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Publication:2225132
DOI10.1515/acv-2017-0011zbMath1457.53017arXiv1703.01592OpenAlexW2593768447WikidataQ115237078 ScholiaQ115237078MaRDI QIDQ2225132
Publication date: 5 February 2021
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.01592
Heisenberg groupdistance functionsingular setCarnot-Carathéodory distanceSteiner's formulatubular neighborhoods
Variational problems in a geometric measure-theoretic setting (49Q20) Sub-Riemannian geometry (53C17)
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- Steiner's formula in the Heisenberg group
- Applications of integral geometry to geometric properties of sets in the 3D-Heisenberg group
- An area formula for Lipschitz mappings of Carnot-Carathéodory spaces
- An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
- Regular submanifolds, graphs and area formula in Heisenberg groups
- Area-stationary and stable surfaces of class \(C^1\) in the sub-Riemannian Heisenberg group \(\mathbb{H}^1\)
- Geodesics in the Heisenberg group
- End-point equations and regularity of sub-Riemannian geodesics
- Area-stationary surfaces in the Heisenberg group \(\mathbb H^1\)
- A geometric inequality in the Heisenberg group and its applications to stable solutions of semilinear problems
- Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
- Differential forms on contact manifolds
- Optimal mass transportation in the Heisenberg group.
- Elliptic partial differential equations of second order
- Umbilicity and characterization of Pansu spheres in the Heisenberg group
- First and second variation formulae for the sub-Riemannian area in three-dimensional pseudo-Hermitian manifolds
- A proof by calibration of an isoperimetric inequality in the Heisenberg group \({\mathbb{H}}^{n}\)
- Metric normal and distance function in the Heisenberg group
- On the isoperimetric problem in the Heisenberg group \(\mathbb H^n\)
- Rotationally invariant hypersurfaces with constant mean curvature in the Heisenberg group \(\mathbb H^n\)
- Umbilic hypersurfaces of constant sigma-\(k\) curvature in the Heisenberg group
- On the curvatura integra in a Riemannian manifold
- Regularity of the distance function to smooth hypersurfaces in some two-step Carnot groups
- Curvature Measures
- Isoperimetric inequalities & volume comparison theorems on CR manifolds
- Variational Problems on Contact Riemannian Manifolds
- Convex Bodies The Brunn-MinkowskiTheory
- The Gauss-Bonnet Theorem for Riemannian Polyhedra
- Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
- Rectifiability and perimeter in the Heisenberg group
