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In this paper we construct the Floer homology for an action functional which was introduced by Rabinowitz and prove a vanishing theorem.As an application, we show that there are no displaceable exact contact embeddings of the unit cotangent bundle of a sphere of dimension greater than three into a convex exact symplectic manifold with vanishing first Chern class.This generalizes Gromov's result that there are no exact Lagrangian embeddings of a sphere into ރ n .
Cieliebak et al. (Thu,) studied this question.
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