AV-differential geometry: Poisson and Jacobi structures

DOI10.1016/j.geomphys.2004.04.004zbMath1093.53086arXivmath/0402435OpenAlexW2064506220WikidataQ115353517 ScholiaQ115353517MaRDI QIDQ556173

Janusz Grabowski, Paweł Urbański, Katarzyna Grabowska

Publication date: 13 June 2005

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0402435

zbMATH Keywords

Poisson geometrygeometric frameworkmechanical problems

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Contact manifolds (general theory) (53D10)

Related Items (15)

Jacobi structures on affine bundles ⋮ AV-differential geometry and Newtonian mechanics ⋮ Tulczyjew triples in higher derivative field theory ⋮ Lie and Nijenhuis brackets on affine spaces ⋮ Affine tensors in mechanics of freely falling particles and rigid bodies ⋮ General framework for nonholonomic mechanics: Nonholonomic systems on Lie affgebroids ⋮ AV-differential geometry: Euler-Lagrange equations ⋮ Vector hulls of affine spaces and affine bundles ⋮ Double affine bundles ⋮ Lagrangian submanifolds and dynamics on Lie affgebroids ⋮ Dirac algebroids in Lagrangian and Hamiltonian mechanics ⋮ A SURVEY OF LAGRANGIAN MECHANICS AND CONTROL ON LIE ALGEBROIDS AND GROUPOIDS ⋮ THE HAMILTON–JACOBI EQUATION ON LIE AFFGEBROIDS ⋮ Geometry of Routh reduction ⋮ Jacobi structures in R3

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