English

Separation of variables in the Jacobi identities

Mathematical Physics 2019-10-24 v1 Analysis of PDEs Dynamical Systems math.MP Symplectic Geometry Classical Physics

Abstract

A new family of nn-dimensional solutions of the Jacobi identities is characterized. Such a family is very general, thus unifying in a common framework many different well-known Poisson systems seemingly unrelated. This unification is not only conceptual, but also allows the development of general global methods of analysis.

Keywords

Cite

@article{arxiv.1910.00848,
  title  = {Separation of variables in the Jacobi identities},
  author = {Benito Hernández-Bermejo and V. Fairén},
  journal= {arXiv preprint arXiv:1910.00848},
  year   = {2019}
}