English

The nonabelian Liouville-Arnold integrability by quadratures problem: a symplectic approach

Dynamical Systems 2015-06-26 v2 Symplectic Geometry

Abstract

A symplectic theory approach is devised for solving the problem of algebraic-analytical construction of integral submanifold imbeddings for integrable (via the nonabelian Liouville-Arnold theorem) Hamiltonian systems on canonically symplectic phase spaces.

Keywords

Cite

@article{arxiv.math/9905145,
  title  = {The nonabelian Liouville-Arnold integrability by quadratures problem: a symplectic approach},
  author = {Anatoliy K. Prykarpatsky},
  journal= {arXiv preprint arXiv:math/9905145},
  year   = {2015}
}