The local approximation theorem in various coordinate systems

DOI10.1134/S003744661805004XzbMath1478.53059OpenAlexW2901203332WikidataQ128880931 ScholiaQ128880931MaRDI QIDQ1734966

S. G. Basalaev

Publication date: 27 March 2019

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

Full work available at URL: https://doi.org/10.1134/s003744661805004x

zbMATH Keywords

Carnot-Carathéodory spacelocal nilpotent approximation

Mathematics Subject Classification ID

Sub-Riemannian geometry (53C17)

Cites Work

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• A coarea formula for smooth contact mappings of Carnot-Carathéodory spaces
• Fine properties of basis vector fields on Carnot-Carathéodory spaces under minimal assumptions on smoothness
• A local approximation theorem on Carnot manifolds under minimal smoothness conditions
• Uniform estimation of sub-Riemannian balls
• Privileged coordinates for Carnot-Carathéodory spaces of lower smoothness
• Über Systeme von linearen partiellen Differentialgleichungen erster Ordnung
• Approximate Differentiability of Mappings of Carnot-Carath\'eodory Spaces
• Proof of Gromov’s theorem on homogeneous nilpotent approximation for vector fields of class C 1
• On Local Approximation Theorem on Equiregular Carnot-Carathéodory Spaces

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