Periodic Reeb orbits on prequantization bundles

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