Polynomial sub-Riemannian differentiability on Carnot groups

DOI10.1134/S106456241606017XzbMath1362.53041WikidataQ115247460 ScholiaQ115247460MaRDI QIDQ521419

M. B. Karmanova

Publication date: 11 April 2017

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

zbMATH Keywords

Hausdorff dimensionpolynomial sub-Riemannian differential

Mathematics Subject Classification ID

Sub-Riemannian geometry (53C17)

Related Items (5)

Metric properties of classes of Hölder surfaces on Carnot groups ⋮ Approximation of Hölder mappings on Carnot-Carathéodory spaces ⋮ Surface area on two-step sub-Lorentzian structures with multi-dimensional time ⋮ Area formulas for classes of Hölder continuous mappings of Carnot groups ⋮ On an analogue of parallel translation on Carnot-Carathéodory spaces

Cites Work

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• Graph surfaces over three-dimensional Lie groups with sub-Riemannian structure
• Variations of nonholonomic-valued mappings and their applications to maximal surface theory
• On the differentiability of mappings of Carnot-Carathéodory spaces
• Graph surfaces over three-dimensional Carnot-Carathéodory spaces
• Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
• The graphs of Lipschitz functions and minimal surfaces on Carnot groups
• Foundations for the theory of quasiconformal mappings on the Heisenberg group
• Approximate Differentiability of Mappings of Carnot-Carath\'eodory Spaces
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28

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