On a Theorem by Ekeland-Hofer
Symplectic Geometry
2012-08-13 v2 Dynamical Systems
Abstract
In [EH89, Theorem 1] Ekeland-Hofer prove that for a centrally symmetric, restricted contact type hypersurface in R^{2n} and for any global, centrally symmetric Hamiltonian perturbation there exists a leaf-wise intersection point. In this note we show that if we replace restricted contact type by star-shaped there exists infinitely many leaf-wise intersection points or a leaf-wise intersection point on a closed characteristic.
Cite
@article{arxiv.1001.3386,
title = {On a Theorem by Ekeland-Hofer},
author = {Peter Albers and Urs Frauenfelder},
journal= {arXiv preprint arXiv:1001.3386},
year = {2012}
}
Comments
5 pages, 1 figure; v2: minor changes