Cartan's concept of duality for second-order ordinary differential equations

DOI10.1016/J.GEOMPHYS.2004.09.003zbMath1086.53023OpenAlexW2095523984WikidataQ115353509 ScholiaQ115353509MaRDI QIDQ557161

Mike Crampin, David J.Saunders

Publication date: 23 June 2005

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1854/LU-323275

zbMATH Keywords

DualityCR structureCartan differential equationsCartan projective connectionSecond-order ordinary differential equation

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Exterior differential systems (Cartan theory) (58A15) Projective differential geometry (53A20) Projective connections (53B10)

Related Items (5)

Burgers' equations in the Riemannian geometry associated with first-order differential equations ⋮ Unnamed Item ⋮ Nonrigid spherical real analytic hypersurfaces in ℂ² ⋮ Point equivalence of second-order ODEs: maximal invariant classification order ⋮ Paraconformal structures, ordinary differential equations and totally geodesic manifolds

Cites Work

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• The second-order ordinary differential equation: Cartan, Douglas, Berwald
• Über Systeme von gewöhnlichen Differentialgleichungen zweiter Ordnung, deren Integralkurven mit dem System der geraden Linien topologisch äquivalent sind
• Projective connections associated with second-order ODEs
• Three-dimensional Cauchy–Riemann structures and second-order ordinary differential equations
• Differential geometry from differential equations

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