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math.SG2023
Proof of Hofer-Wysocki-Zehnder's two or infinity conjecture
Dan Cristofaro-Gardiner, Umberto Hryniewicz, Michael Hutchings +1
We prove that every Reeb flow on a closed connected three-manifold has either two or infinitely many simple periodic orbits, assuming that the associated contact structure has tors…
math.SG2015★ 3 cited
Non-hyperbolic closed characteristics on non-degenerate star-shaped hypersurfaces in
Huagui Duan, Hui Liu, Yiming Long +1
In this paper, we prove that for every index perfect non-degenerate compact star-shaped hypersurface , there exist at least non-hyperbolic closed characte…