English

Lagrangian submanifolds and dynamics on Lie affgebroids

Differential Geometry 2016-08-16 v3 Mathematical Physics math.MP

Abstract

We introduce the notion of a symplectic Lie affgebroid and their Lagrangian submanifolds in order to describe the Lagrangian (Hamiltonian) dynamics on a Lie affgebroid in terms of this type of structures. Several examples are discussed.

Keywords

Cite

@article{arxiv.math/0505117,
  title  = {Lagrangian submanifolds and dynamics on Lie affgebroids},
  author = {D. Iglesias and J. C. Marrero and E. Padrón and D. Sosa},
  journal= {arXiv preprint arXiv:math/0505117},
  year   = {2016}
}

Comments

50 pages. Several sections updated

R2 v1 2026-07-22T17:19:01.156Z