Noncommutative integrability on noncompact invariant manifolds
classification
🧮 math.DS
math-phmath.MP
keywords
integrabilityinvariantnoncommutativenoncompactcaseextendedhamiltonianmanifold
read the original abstract
The Mishchenko-Fomenko theorem on noncommutative integrability of Hamiltonian systems on a symplectic manifold is extended to the case of noncompact invariant submanifolds.
This paper has not been read by Pith yet.
Forward citations
Cited by 2 Pith papers
-
Integrable systems from Poisson reductions of generalized Hamiltonian torus actions
Develops sufficient conditions for Poisson reduction of generalized Hamiltonian torus actions to preserve integrability and applies them to open problems on Lie group doubles and flat-connection moduli spaces.
-
Integrable systems from Poisson reductions of generalized Hamiltonian torus actions
Develops sufficient conditions for integrable systems to descend under Poisson reductions of generalized Hamiltonian torus actions, with applications to systems on doubles of compact Lie groups and moduli spaces of fl...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.