Quasiconvexity in the Heisenberg group

DOI10.1007/s10711-017-0257-6zbMath1392.53050arXiv1609.07749OpenAlexW2964278735MaRDI QIDQ684208

David A. Herron, Anton Lukyanenko, Jeremy T. Tyson

Publication date: 9 February 2018

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.07749

zbMATH Keywords

quasiconvexityHeisenberg groupCarnot-Caratheodory

Mathematics Subject Classification ID

Sub-Riemannian geometry (53C17)

Related Items

A koebe distortion theorem for quasiconformal mappings in the Heisenberg group

Cites Work

• Sub-Riemannian vs. Euclidean dimension comparison and fractal geometry on Carnot groups
• Quasiconformal maps in metric spaces with controlled geometry
• Differentiability of Lipschitz functions on metric measure spaces
• Convex functions on the Heisenberg group
• Comparison of Hausdorff measures with respect to the Euclidean and the Heisenberg metric
• The effect of projections on dimension in the Heisenberg group
• Notion of convexity in Carnot groups
• Heisenberg quasiregular ellipticity
• Intrinsic Lipschitz graphs within Carnot groups
• Regular domains in homogeneous groups
• Intrinsic Lipschitz Graphs and Vertical β-Numbers in the Heisenberg Group
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