scientific article; zbMATH DE number 6665018
From MaRDI portal
Publication:5506865
zbMath1388.53001MaRDI QIDQ5506865
Publication date: 16 December 2016
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Poincaré inequalitysets of finite perimetergeometric measure theoryarea formulaintrinsic graphminimal boundariesWhitney theorem\(\mathbb{H}\)-regular surfaces\(BV\)-functionPansu differentiable maps
Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Sub-Riemannian geometry (53C17)
Related Items
The strong geometric lemma for intrinsic Lipschitz graphs in Heisenberg groups ⋮ The traveling salesman theorem in Carnot groups ⋮ Loomis-Whitney inequalities in Heisenberg groups ⋮ Universal differentiability sets and maximal directional derivatives in Carnot groups ⋮ A reverse coarea-type inequality in Carnot groups ⋮ On rectifiable measures in Carnot groups: existence of density ⋮ Porosity, differentiability and Pansu's theorem ⋮ Porosity and differentiability of Lipschitz maps from stratified groups to Banach homogeneous groups ⋮ Towards a theory of area in homogeneous groups ⋮ Fractional differential operators, fractional Sobolev spaces and fractional variation on homogeneous Carnot groups ⋮ Distributional solutions of Burgers' type equations for intrinsic graphs in Carnot groups of step 2 ⋮ Horizontally affine functions on step-2 Carnot algebras ⋮ A primer on Carnot groups: homogenous groups, Carnot-Carathéodory spaces, and regularity of their isometries ⋮ Monotone sets and local minimizers for the perimeter in Carnot groups ⋮ Carnot rectifiability of sub-Riemannian manifolds with constant tangent ⋮ Riesz transform and vertical oscillation in the Heisenberg group ⋮ Precisely monotone sets in step-2 rank-3 Carnot algebras ⋮ Area formula for regular submanifolds of low codimension in Heisenberg groups ⋮ Marstrand-Mattila rectifiability criterion for 1-codimensional measures in Carnot groups ⋮ The intrinsic Hopf-Lax semigroup vs. the intrinsic slope ⋮ Bi-Lipschitz embeddings of Heisenberg submanifolds into Euclidean spaces ⋮ Intrinsic Lipschitz graphs in Carnot groups of step 2 ⋮ Some remarks on contact variations in the first Heisenberg group ⋮ Intrinsic Difference Quotients ⋮ Intrinsic differentiability and intrinsic regular surfaces in Carnot groups ⋮ Semmes surfaces and intrinsic Lipschitz graphs in the Heisenberg group ⋮ Structure of porous sets in Carnot groups ⋮ On the Whitney extension property for continuously differentiable horizontal curves in sub-Riemannian manifolds ⋮ A directional Lipschitz extension lemma, with applications to uniqueness and Lagrangianity for the continuity equation ⋮ The Gauss-Green theorem in stratified groups ⋮ The contact mappings of a flat \((2,3,5)\)-distribution ⋮ Intrinsic regular surfaces of low codimension in Heisenberg groups ⋮ Intrinsically Lipschitz functions with normal target in Carnot groups ⋮ On uniform measures in the Heisenberg group ⋮ The Bernstein problem for Lipschitz intrinsic graphs in the Heisenberg group ⋮ Boundedness of singular integrals on \(C^{1,{\alpha}}\) intrinsic graphs in the Heisenberg group ⋮ Lipschitz graphs and currents in Heisenberg groups
This page was built for publication:
