English

Square roots of Hamiltonian Diffeomorphisms

Symplectic Geometry 2014-09-04 v2 Dynamical Systems

Abstract

In this article we prove that on any closed symplectic manifold there exists an arbitrarily CC^\infty-small Hamiltonian diffeomorphism not admitting a square root.

Keywords

Cite

@article{arxiv.1304.4067,
  title  = {Square roots of Hamiltonian Diffeomorphisms},
  author = {Peter Albers and Urs Frauenfelder},
  journal= {arXiv preprint arXiv:1304.4067},
  year   = {2014}
}

Comments

6 pages; minor modifications and corrections

R2 v1 2026-06-21T23:59:38.733Z