Fundamental form and the Cartan tensor of \((2,5)\)-distributions coincide

DOI10.1007/s10450-006-0383-1zbMath1118.58004arXivmath/0402195OpenAlexW3123145629WikidataQ125974795 ScholiaQ125974795MaRDI QIDQ867457

N. E. Zubov

Publication date: 15 February 2007

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0402195

zbMATH Keywords

differential invariantsPfaffian systemabnormal extremalsJacobi curvenonholonomic distribution

Mathematics Subject Classification ID

Differential invariants (local theory), geometric objects (53A55) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items (8)

A contact covariant approach to optimal control with applications to sub-Riemannian geometry ⋮ Geometric conditions for the existence of a rolling without twisting or slipping ⋮ Symmetries of the rolling model ⋮ Equivalence of variational problems of higher order ⋮ Duality on geodesics of Cartan distributions and sub-Riemannian pseudo-product structures ⋮ Duality of singular paths for \((2,3,5)\)-distributions ⋮ Geometry of rank 2 distributions with nonzero Wilczynski invariants* ⋮ DUALITY OF (2, 3, 5)-DISTRIBUTIONS AND LAGRANGIAN CONE STRUCTURES

Cites Work

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• On the equivalence problems associated with simple graded Lie algebras
• Rigidity of integral curves of rank 2 distributions
• Geometry of Jacobi curves. I
• Geometry of Jacobi curves. II
• Feedback-invariant optimal control theory and differential geometry. I: Regular extremals
• Feedback-invariant optimal control theory and differential geometry. II. Jacobi curves for singular extremals
• Nonregular abnormal extremals of \(2\)-distribution: existence, second variation, and rigidity

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