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Differential Invariants of Second-Order Ordinary Differential Equations

  • M. Eugenia Rosado María
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 36)

Abstract

The notion of a differential invariant for systems of second-order differential equations σ on a manifold M with respect to the group of vertical automorphisms of the projection p: ℝ ×M → ℝ, is defined and the Chern connection ∇ σ attached to a SODE σ allows one to determine a basis for second-order differential invariants of a SODE.

Keywords

Vector Bundle Curvature Mapping Tensor Field Linear Connection Order Ordinary Differential Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

Supported by Ministerio of Ciencia e Innovación of Spain (MICINN), under grant #MTM2008–01386.

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Copyright information

© Springer Japan 2013

Authors and Affiliations

  1. 1.Departamento de Matemática AplicadaEscuela Técnica Superior de Arquitectura, UPMMadridSpain

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