Steiner's formula in the Heisenberg group

DOI10.1016/j.na.2015.05.006zbMath1322.43008OpenAlexW596034991MaRDI QIDQ494200

Zoltán M. Balogh, Eugenio Vecchi, Bruno Franchi, Fausto Ferrari, Kevin Wildrick

Publication date: 31 August 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://boris.unibe.ch/81134/1/Revision_09042015.pdf

zbMATH Keywords

Heisenberg groupCarnot-Carathédory distanceSteiner's formula

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80)

Related Items (5)

Heat content asymptotics for sub-Riemannian manifolds ⋮ 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 ⋮ Tubular neighborhoods in the sub-Riemannian Heisenberg groups ⋮ Heat content and horizontal mean curvature on the Heisenberg group

Cites Work

• Singular quasilinear and Hessian equations and inequalities
• Variational properties of functions of the mean curvatures for hypersurfaces in space forms
• Minimal surfaces in the Heisenberg group
• The geometric Sobolev embedding for vector fields and the isoperimetric inequality
• Metric normal and distance function in the Heisenberg group
• On the Hessian of a function and the curvature of its graph
• Hessian inequalities and the fractional Laplacian
• Curvature Measures
• On a relative Alexandrov-Fenchel inequality for convex bodies in Euclidean spaces
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• On new isoperimetric inequalities and symmetrization.
• Rectifiability and perimeter in the Heisenberg group
• Surface measures in Carnot-Carathéodory spaces
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