Periodic Reeb orbits on prequantization bundles
  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. 
Peter Albers, Jean Gutt, Doris Hein
math.SG math.DS