Characteristic vector fields of generic distributions of corank 2

DOI10.1016/j.anihpc.2007.05.006zbMath1154.53018OpenAlexW2033716253MaRDI QIDQ1001976

Wojciech Kryński, Fernand Pelletier, Bronislaw Jakubczyk

Publication date: 20 February 2009

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/78838

zbMATH Keywords

abnormal curvesgeneric distributionssingular curvescharacteristic vector fieldstangent distributions

Mathematics Subject Classification ID

Pfaffian systems (58A17) Global submanifolds (53C40) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Contact manifolds (general theory) (53D10) Normal forms on manifolds (58K50) Sub-Riemannian geometry (53C17) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items (2)

A contact covariant approach to optimal control with applications to sub-Riemannian geometry ⋮ Singular velocities of even-rank affine distributions

Cites Work

• Large deviations and the Malliavin calculus
• Singular curves determine generic distributions of corank at least 3
• Rigidity of integral curves of rank 2 distributions
• A survey of singular curves in sub-Riemannian geometry
• Abnormal sub-Riemannian geodesics: Morse index and rigidity
• Genericity results for singular curves
• Abnormal Minimizers
• Distributions of corank 1 and their characteristic vector fields
• Shortest paths for sub-Riemannian metrics on rank-two distributions
• The exponential map for the Lagrange problem on differentiable manifolds
• Generic singularities of distributions of codimension 2 and bi-Hamiltonian structures
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