Mechanical systems in the generalized Lie algebroids framework
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Publication:5416633
DOI10.1142/S0219887814500236zbMath1301.00048arXiv1310.2131OpenAlexW2964075808MaRDI QIDQ5416633
Publication date: 14 May 2014
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1310.2131
sprayliftcurvevector bundleLagrangian formalismmechanical systemprojectoralmost tangent structuresemisprayalmost product structurenatural base(generalized) Lie algebroid(linear) connectionadapted base
General applied mathematics (00A69) Noncommutative geometry (à la Connes) (58B34) Connections (general theory) (53C05) Linear and affine connections (53B05) Hamiltonian and Lagrangian mechanics (70Hxx)
Related Items
Symmetries of second order differential equations on Lie algebroids ⋮ Poisson structures on almost complex Lie algebroids ⋮ Weyl’s theory in the generalized Lie algebroids framework ⋮ Symmetries of Hamiltonian systems on Lie algebroids ⋮ Remarks on generalized Lie algebroids and related concepts ⋮ (Pseudo) generalized Kaluza–Klein G-spaces and Einstein equations
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