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In this final chapter, we give an application of the generalisation of Schlenk’s Theorem to systolic geometry. Under some suitable assumptions, we can show the existence of periodic Reeb orbits of least length and estimate their periods. Moreover, we discuss possible future research directions.

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Systolic Geometry

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  • 发表日期：

    2026年

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  • Yannis Bähni

摘要

In this final chapter, we give an application of the generalisation of Schlenk’s Theorem to systolic geometry. Under some suitable assumptions, we can show the existence of periodic Reeb orbits of least length and estimate their periods. Moreover, we discuss possible future research directions.