The Carathéodory-Rashevsky-Chow theorem for the nonholonomic Lipschitz distributions

DOI10.1134/S0037446613060165zbMath1290.58005OpenAlexW2056909537MaRDI QIDQ2436107

K. V. Storozhuk

Publication date: 21 February 2014

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

Full work available at URL: https://doi.org/10.1134/s0037446613060165

zbMATH Keywords

nonholonomic distributionRashevsky-Chow theoremLipschitz distribution

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Vector distributions (subbundles of the tangent bundles) (58A30)

Cites Work

• On one class of Lipschitz vector fields in \(\mathbb R^{3}\)
• Commutators of flow maps of nonsmooth vector fields
• Lipschitz continuity, global smooth approximations and extension theorems for Sobolev functions in Carnot-Carathéodory spaces
• Almost exponential maps and integrability results for a class of horizontally regular vector fields
• Quasispaces induced by vector fields measurable in \(\mathbb R^3\)
• Frobenius-type theorems for Lipschitz distributions
• Approximate Differentiability of Mappings of Carnot-Carath\'eodory Spaces
• Accessible Sets, Orbits, and Foliations with Singularities
• Lipschitz distributions and Anosov flows
• Orbits of Families of Vector Fields and Integrability of Distributions

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