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arXiv · 1612.02205

Periodic Reeb orbits on prequantization bundles

Peter Albers·Jean Gutt·Doris Hein
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Abstract

In this paper, we prove that every graphical hypersurface in a prequantization bundle over a symplectic manifold $M$, pinched between two circle bundles whose ratio of radii is less than $\sqrt{2}$ carries either one short simple periodic orbit or carries at least $\operatorname{cuplength}(M)+1$ simple periodic Reeb orbits.

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Peter Albers, Jean Gutt, Doris Hein. 2016-12-07. Periodic Reeb orbits on prequantization bundles. https://doi.org/10.3934/jmd.2018005

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