A COMPLETE LIFT FOR SEMISPRAYS

DOI10.1142/S0219887810004026zbMath1189.53038arXiv0809.1328OpenAlexW2033296401MaRDI QIDQ3552533

Matias F. Dahl, Ioan Bucataru

Publication date: 22 April 2010

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.1328

zbMATH Keywords

Jacobi fieldgeodesiccomplete liftsemisprayvertical lift

Mathematics Subject Classification ID

Jets in global analysis (58A20) Geodesics in global differential geometry (53C22) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (6)

A GEOMETRIC SETTING FOR SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS ⋮ Complete lift of vector fields and sprays to T^∞M ⋮ Connections on distributions and geodesic sprays ⋮ \(k\)-parameter geodesic variations ⋮ SYMMETRIES, NEWTONOID VECTOR FIELDS AND CONSERVATION LAWS IN THE LAGRANGIAN k-SYMPLECTIC FORMALISM ⋮ Special coordinate systems in pseudo-Finsler geometry and the equivalence principle

Cites Work

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• Parallelism and path-spaces
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• Jacobi fields and linear connections for arbitrary second-order ODEs.
• Jacobi fields of completely integrable Hamiltonian systems
• On the Lagrangian form of the variational equations of Lagrangian dynamical systems
• Prolongations of tensor fields and connections to tangent bundles. I: General theory
• Structure presque tangente et connexions. I

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