Graph surfaces of codimension two over three-dimensional Carnot-Carathéodory spaces

DOI10.1134/S1064562416030273zbMath1356.53038OpenAlexW2460882750WikidataQ125013651 ScholiaQ125013651MaRDI QIDQ334433

M. B. Karmanova

Publication date: 1 November 2016

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

Full work available at URL: https://doi.org/10.1134/s1064562416030273

zbMATH Keywords

Carnot-Carathéodory spacesgraph surfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Sub-Riemannian geometry (53C17)

Related Items (4)

The polynomial sub-Riemannian differentiability of some Hölder mappings of Carnot groups ⋮ Area formulas for classes of Hölder continuous mappings of Carnot groups ⋮ Polynomial sub-Riemannian differentiability on Carnot-Carathéodory spaces ⋮ On the class of Hölder surfaces in Carnot-Carathéodory spaces

Cites Work

• Graph surfaces over three-dimensional Lie groups with sub-Riemannian structure
• Balls and metrics defined by vector fields. I: Basic properties
• The graphs of Lipschitz functions and minimal surfaces on Carnot groups
• Approximate Differentiability of Mappings of Carnot-Carath\'eodory Spaces
• Geometry of Carnot-Carathéodory Spaces, Differentiability, Coarea and Area Formulas
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