Fine properties of basis vector fields on Carnot-Carathéodory spaces under minimal assumptions on smoothness

DOI10.1134/S003744661401011XzbMath1306.53020OpenAlexW2132166953MaRDI QIDQ467662

M. B. Karmanova

Publication date: 4 November 2014

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

Full work available at URL: https://doi.org/10.1134/s003744661401011x

zbMATH Keywords

vector fieldCarnot-Carathéodory spacelocal homogeneous group

Mathematics Subject Classification ID

Sub-Riemannian geometry (53C17)

Related Items (10)

Three-dimensional graph surfaces on five-dimensional Carnot-Carathéodory spaces ⋮ Approximation of Hölder mappings on Carnot-Carathéodory spaces ⋮ On local metric characteristics of level sets of \(C_H^1\)-mappings of Carnot manifolds ⋮ Privileged coordinates for Carnot-Carathéodory spaces of lower smoothness ⋮ Unnamed Item ⋮ The local approximation theorem in various coordinate systems ⋮ Polynomial sub-Riemannian differentiability on Carnot-Carathéodory spaces ⋮ On the class of Hölder surfaces in Carnot-Carathéodory spaces ⋮ Properties of minimal surfaces over depth 2 Carnot manifolds ⋮ Graph surfaces over three-dimensional Lie groups with sub-Riemannian structure

Cites Work

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• A local approximation theorem on Carnot manifolds under minimal smoothness conditions
• Balls and metrics defined by vector fields. I: Basic properties
• Local geometry of nonregular weighted quasimetric Carnot-Carathéodory spaces
• Control theory from the geometric viewpoint.
• Approximate Differentiability of Mappings of Carnot-Carath\'eodory Spaces
• Geometry of Carnot-Carathéodory Spaces, Differentiability, Coarea and Area Formulas
• Proof of Gromov’s theorem on homogeneous nilpotent approximation for vector fields of class C 1
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• On Local Approximation Theorem on Equiregular Carnot-Carathéodory Spaces
• A new approach to investigation of Carnot-Carathéodory geometry
• A new approach to investigation of Carnot-Carathéodory geometry

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