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In this chapter we prove two important applications of twisted Rabinowitz–Floer homology. The first one is proving the existence of noncontractible periodic Reeb orbits on some lens spaces. The second one is a bound for the action of a symmetric periodic Reeb orbit in terms of the displacement of its energy hypersurface. The latter result will be refined in the final chapter of the book.

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Applications of Twisted Rabinowitz–Floer Homology

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  • 发表日期：

    2026年

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  • Yannis Bähni

摘要

In this chapter we prove two important applications of twisted Rabinowitz–Floer homology. The first one is proving the existence of noncontractible periodic Reeb orbits on some lens spaces. The second one is a bound for the action of a symmetric periodic Reeb orbit in terms of the displacement of its energy hypersurface. The latter result will be refined in the final chapter of the book.