English

Rigidity of cotangent lifts and integrable systems

Symplectic Geometry 2022-11-16 v1 Dynamical Systems

Abstract

In this article we generalize a theorem by Palais on the rigidity of compact group actions to cotangent lifts. We use this result to prove rigidity for integrable systems on symplectic manifolds including sytems with degenerate singularities which are invariant under a torus action.

Keywords

Cite

@article{arxiv.2006.12477,
  title  = {Rigidity of cotangent lifts and integrable systems},
  author = {Pau Mir and Eva Miranda},
  journal= {arXiv preprint arXiv:2006.12477},
  year   = {2022}
}

Comments

17 pages, 1 figure

R2 v1 2026-06-23T16:31:52.275Z