AV-differential geometry and Newtonian mechanics

DOI10.1016/S0034-4877(06)80038-8zbMath1128.70007arXivmath-ph/0511005WikidataQ115339940 ScholiaQ115339940MaRDI QIDQ2644315

Katarzyna Grabowska, Paweł Urbański

Publication date: 31 August 2007

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0511005

zbMATH Keywords

Hamiltonian formalismaffine spacesLagrangian formalism

Mathematics Subject Classification ID

Hamilton's equations (70H05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrange's equations (70H03)

Related Items (3)

Tulczyjew triples in higher derivative field theory ⋮ AV-differential geometry: Euler-Lagrange equations ⋮ Dirac algebroids in Lagrangian and Hamiltonian mechanics

Cites Work

• AV-differential geometry: Poisson and Jacobi structures
• Lie brackets on affine bundles
• Lie algebroid structures and Lagrangian systems on affine bundles
• Lagrangian submanifolds and dynamics on Lie affgebroids
• Lie algebroid structures on a class of affine bundles
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: AV-differential geometry and Newtonian mechanics