Equivariant symplectic homology and multiple closed Reeb orbits
Abstract
We study the existence of multiple closed Reeb orbits on some contact manifolds by means of S1-equivariant symplectic homology and the index iteration formula. It is proved that a certain class of contact manifolds which admit displaceable exact contact embeddings, a certain class of prequantization bundles, and Brieskorn spheres have multiple closed Reeb orbits.
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