Vector fields with distributions and invariants of ODEs

DOI10.3934/jgm.2013.5.85zbMath1271.34041OpenAlexW2328908069MaRDI QIDQ1951367

Wojciech Kryński, Bronislaw Jakubczyk

Publication date: 5 June 2013

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jgm.2013.5.85

zbMATH Keywords

equivalencedistributioninvariantsordinary differential equationsvector fieldcontrol systemconnectionG-structuresemispray

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Symmetries, invariants of ordinary differential equations (34C14) Linear and affine connections (53B05) Differential invariants (local theory), geometric objects (53A55) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items (8)

Local geometric control of a certain mechanism with the growth vector \((4,7)\) ⋮ Geometry of isotypic Kronecker webs ⋮ Deformations of dispersionless Lax systems ^* ⋮ Webs and the Plebański equation ⋮ Webs and projective structures on a plane ⋮ Point invariants of third-order ODEs and hyper-CR Einstein-Weyl structures ⋮ Paraconformal structures, ordinary differential equations and totally geodesic manifolds ⋮ Graded vector fields and involutive distributions on graded manifolds

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