Geometric characterization of linearisable second-order differential equations

DOI10.1017/S0305004100074235zbMath0851.53009OpenAlexW2047940551WikidataQ115336053 ScholiaQ115336053MaRDI QIDQ4877668

Eduardo Martínez, José F. Cariñena

Publication date: 1 July 1996

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100074235

zbMATH Keywords

tangent bundleEhresmann connectionlinearisable second-order differential equations

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Other connections (53B15)

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Weyl’s theory in the generalized Lie algebroids framework ⋮ A case study of separability of second-order differential equations ⋮ Linearization of nonlinear connections on vector and affine bundles, and some applications ⋮ A generalization of Weyl's theorem on projectively related affine connections ⋮ Graded vector fields and involutive distributions on graded manifolds ⋮ Unnamed Item

Cites Work

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• Derivations of differential forms along the tangent bundle projection
• Derivations of differential forms along the tangent bundle projection. II
• Structure presque tangente et connexions. I
• Symmetries of nonlinear differential equations and linearisation
• Second-order equation fields and the inverse problem of Lagrangian dynamics
• On Horizontal Distributions on the Tangent Bundle of a Differentiable Manifold