Remarks on the systoles of symmetric convex hypersurfaces and symplectic capacities

Joontae Kim (), Seongchan Kim () and Myeonggi Kwon ()
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Joontae Kim: Sogang University, Department of Mathematics
Seongchan Kim: Kongju National University, Department of Mathematics Education
Myeonggi Kwon: Sunchon National University, Department of Mathematics Education

A chapter in Symplectic Geometry, 2022, pp 775-800 from Springer

Abstract: Abstract In this note we study the systoles of convex hypersurfaces in R2n invariant under an anti-symplectic involution. We investigate a uniform upper bound of the ratio between the systole and the symmetric systole of the hypersurfaces using symplectic capacities from Floer theory.

Keywords: Systoles; symmetric periodic orbits; real symplectic capacities (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-19111-4_26

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DOI: 10.1007/978-3-031-19111-4_26

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