Remarks on the systoles of symmetric convex hypersurfaces and symplectic capacities

Remarks on the systoles of symmetric convex hypersurfaces and symplectic capacities

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. We discuss various conc...

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Bibliographic Details
Main Authors: Kim, J. (Author), Kim, S. (Author), Kwon, M. (Author)
Format: Article
Language:English
Published: Birkhauser 2022
Subjects:
real symplectic capacities
symmetric periodic orbits
Systoles
Online Access:View Fulltext in Publisher
LEADER 01102nam a2200193Ia 4500
001 10.1007-s11784-022-00953-w
008 220425s2022 CNT 000 0 und d
020 |a 16617738 (ISSN) 
245 1 0 |a Remarks on the systoles of symmetric convex hypersurfaces and symplectic capacities 
260 0 |b Birkhauser  |c 2022 
856 |z View Fulltext in Publisher  |u https://doi.org/10.1007/s11784-022-00953-w 
520 3 |a 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. We discuss various concrete examples in which the ratio can be understood explicitly. © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG. 
650 0 4 |a real symplectic capacities 
650 0 4 |a symmetric periodic orbits 
650 0 4 |a Systoles 
700 1 |a Kim, J.  |e author 
700 1 |a Kim, S.  |e author 
700 1 |a Kwon, M.  |e author 
773 |t Journal of Fixed Point Theory and Applications 

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