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arXiv · 1001.3386

On a Theorem by Ekeland-Hofer

Peter Albers·Urs Frauenfelder
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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.

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Peter Albers, Urs Frauenfelder. 2010-04-27. On a Theorem by Ekeland-Hofer. https://doi.org/10.1007/s11856-011-0087-4

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