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arXiv · 1202.3122

Local contact homology and applications

Umberto Hryniewicz·Leonardo Macarini
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Abstract

We introduce a local version of contact homology for an isolated periodic orbit of the Reeb flow and prove that its rank is uniformly bounded for isolated iterations. Several applications are obtained, including a generalization of Gromoll-Meyer's theorem on the existence of infinitely many simple periodic orbits, resonance relations and conditions for the existence of non-hyperbolic periodic orbits.

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Umberto Hryniewicz, Leonardo Macarini. 2012-02-14. Local contact homology and applications. https://arxiv.org/abs/1202.3122

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