On a Theorem by Ekeland-Hofer

Details On a Theorem by Ekeland-Hofer On a Theorem by Ekeland-Hofer

2010-01-19

arxiv.org/abs/1001.3386v2

Mathematics

Symplectic Geometry

5 pages, 1 figure; v2: minor changes

Scientific paper

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.

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