Tangent and cotangent lifts and graded Lie algebras associated with Lie algebroids
From MaRDI portal
Publication:1379121
DOI10.1023/A:1006519730920zbMath0973.58006arXivdg-ga/9710013MaRDI QIDQ1379121
Paweł Urbański, Janusz Grabowski
Publication date: 12 August 1998
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/dg-ga/9710013
Lie algebras of vector fields and related (super) algebras (17B66) Graded Lie (super)algebras (17B70) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Symplectic geometry, contact geometry (53D99) Pseudogroups and differentiable groupoids (58H05)
Related Items
Second-order constrained variational problems on Lie algebroids: applications to optimal control ⋮ Lifting statistical structures ⋮ Distinguished connections on Finsler algebroids ⋮ Symmetries of second order differential equations on Lie algebroids ⋮ Higher vector bundles and multi-graded symplectic manifolds ⋮ Lagrangian Lie subalgebroids generating dynamics for second-order mechanical systems on Lie algebroids ⋮ Berwald-type and Yano-type connections on Lie algebroids ⋮ Modular classes of Poisson-Nijenhuis Lie algebroids ⋮ Lie algebroid structures on a class of affine bundles ⋮ Weyl’s theory in the generalized Lie algebroids framework ⋮ On a geometric framework for Lagrangian supermechanics ⋮ Lie algebroids and Poisson-Nijenhuis structures ⋮ VB-structures and generalizations ⋮ Poisson structures on tangent bundles. ⋮ Symmetries of Hamiltonian systems on Lie algebroids ⋮ Tulczyjew’s triplet with an Ehresmann connection I: Trivialization and reduction ⋮ Multiplicative forms at the infinitesimal level ⋮ Study on geometric structures on Lie algebroids with optimal control applications ⋮ Classical field theory on Lie algebroids: multisymplectic formalism ⋮ Generalized almost contact structures on Lie algebroids ⋮ TANGENT DIRAC STRUCTURES AND SUBMANIFOLDS ⋮ Lagrangian submanifolds and dynamics on Lie affgebroids ⋮ Lifts of Poisson structures to Weil bundle ⋮ Derived brackets ⋮ Mechanical structures on Lie algebroids ⋮ Algebroids -- general differential calculi on vector bundles ⋮ Pseudo-Dirac structures ⋮ Double Lie algebroids and second-order geometry. II ⋮ On characterization of Poisson and Jacobi structures