Some properties of Hölder surfaces in the Heisenberg group

zbMath1294.53033arXiv1205.0228MaRDI QIDQ2509822

Roger Züst, Enrico Le Donne

Publication date: 30 July 2014

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.0228

zbMATH Keywords

Carnot-Carathéodory distancesub-Riemannian Heisenberg group\(\alpha\)-Hölder surface

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Sub-Riemannian geometry (53C17)

Related Items (5)

A primer on Carnot groups: homogenous groups, Carnot-Carathéodory spaces, and regularity of their isometries ⋮ On the quasisymmetric Hölder-equivalence problem for Carnot groups ⋮ Coarea formulae and chain rules for the Jacobian determinant in fractional Sobolev spaces ⋮ Hölder-topology of the Heisenberg group ⋮ Some results on maps that factor through a tree

Cites Work

• Local currents in metric spaces
• Integration of Hölder forms and currents in snowflake spaces
• An inequality of the Hölder type, connected with Stieltjes integration
• The Game of Hex and the Brouwer Fixed-Point Theorem
• Currents in metric spaces

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