Area formulas for classes of Hölder continuous mappings of Carnot groups

DOI10.1134/S0037446617050093zbMath1392.53051OpenAlexW2766674771WikidataQ125865011 ScholiaQ125865011MaRDI QIDQ1694708

M. B. Karmanova

Publication date: 6 February 2018

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446617050093

zbMATH Keywords

area formulaCarnot groupgraph mappingLipschitz continuous mappingHölder continuous mappingintrinsic measurenilpotent graded group.

Mathematics Subject Classification ID

Sub-Riemannian geometry (53C17)

Related Items (12)

On local metric characteristics of level sets of \(C_H^1\)-mappings of Carnot manifolds ⋮ Two-step sub-Lorentzian structures and graph surfaces ⋮ Classes of maximal surfaces on Carnot groups ⋮ Unnamed Item ⋮ A metric characteristic of minimal surfaces on arbitrary Carnot groups ⋮ Polynomial sub-Riemannian differentiability on Carnot-Carathéodory spaces ⋮ Metric properties of level surfaces of Hölder mappings defined on two-step Carnot groups ⋮ Minimal graph-surfaces on arbitrary two-step Carnot groups ⋮ On the class of Hölder surfaces in Carnot-Carathéodory spaces ⋮ Properties of minimal surfaces over depth 2 Carnot manifolds ⋮ Level sets of classes of mappings of two-step Carnot groups in a nonholonomic interpretation ⋮ Area formulas in metric measure spaces under a weak Lipschitz-like condition

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