scientific article; zbMATH DE number 5245077

zbMath1142.49020arXivmath/0610367MaRDI QIDQ5447175

Fausto Ferrari, Nicola Arcozzi

Publication date: 6 March 2008

Full work available at URL: https://arxiv.org/abs/math/0610367

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zbMATH Keywords

Heisenberg groupsub-Riemannian geometryCarnot-Carathéodory distancehorizontal Hessian

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Geodesics in global differential geometry (53C22) Sub-Riemannian geometry (53C17)

Related Items (13)

Heat content asymptotics for sub-Riemannian manifolds ⋮ Hardy-Sobolev type inequalities with sharp constants in Carnot-Carathéodory spaces ⋮ Rigidity results for nonlocal phase transitions in the Heisenberg group \(\mathbb{H}\) ⋮ On the characterization of \(p\)-harmonic functions on the Heisenberg group by mean value properties ⋮ Tubular neighborhoods in the sub-Riemannian Heisenberg groups ⋮ Steiner's formula in the Heisenberg group ⋮ Metric normal and distance function in the Heisenberg group ⋮ Geometric Hardy inequalities for the sub-elliptic Laplacian on convex domains in the Heisenberg group ⋮ Heat content and horizontal mean curvature on the Heisenberg group ⋮ A geometric inequality in the Heisenberg group and its applications to stable solutions of semilinear problems ⋮ On uniform measures in the Heisenberg group ⋮ Some a priori estimates for a class of operators in the Heisenberg group ⋮ On the induced geometry on surfaces in 3D contact sub-Riemannian manifolds

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