Approximation of Hölder mappings on Carnot-Carathéodory spaces

DOI10.1134/S1064562417030012zbMath1375.53046WikidataQ126121919 ScholiaQ126121919MaRDI QIDQ2404278

M. B. Karmanova

Publication date: 18 September 2017

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

polynomial sub-Riemannian differentiabilitysub-Riemannian Hausdorff dimension

Mathematics Subject Classification ID

Sub-Riemannian geometry (53C17)

Related Items (10)

Area of some Hölder surfaces on Carnot-Carathéodory spaces ⋮ Class of maximal graph surfaces on multidimensional two-step sub-Lorentzian structures ⋮ On an analogue of parallel translation on Carnot-Carathéodory spaces ⋮ Metric properties of graphs on Carnot-Carathéodory spaces with sub-Lorentzian structure ⋮ Coarea formula for functions on 2-step Carnot groups with sub-Lorentzian structure ⋮ Space-likeness of classes of level surfaces on Carnot groups and their metric properties ⋮ On the class of Hölder surfaces in Carnot-Carathéodory spaces ⋮ Properties of minimal surfaces over depth 2 Carnot manifolds ⋮ Area of graph surfaces on Carnot groups with sub-Lorentzian structure ⋮ Graphs of nonsmooth contact mappings on Carnot groups with sub-Lorentzian structure

Cites Work

• Unnamed Item
• Fine properties of basis vector fields on Carnot-Carathéodory spaces under minimal assumptions on smoothness
• Polynomial sub-Riemannian differentiability on Carnot groups
• The graphs of Lipschitz functions and minimal surfaces on Carnot groups
• Hölder mappings of Carnot groups and intrinsic bases
• Metric properties of classes of Hölder surfaces on Carnot groups
• Approximate Differentiability of Mappings of Carnot-Carath\'eodory Spaces
• Geometry of Carnot-Carathéodory Spaces, Differentiability, Coarea and Area Formulas
• The Interaction of Analysis and Geometry

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