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On a systolic inequality for closed magnetic geodesics on surfaces

Benedetti G.
•
Kang J.
2022
  • journal article

Periodico
JOURNAL OF SYMPLECTIC GEOMETRY
Abstract
We apply a local systolic-diastolic inequality for contact forms and odd-symplectic forms on three-manifolds to bound the magnetic length of closed curves with prescribed geodesic curvature (also known as magnetic geodesics) on an oriented closed surface. Our results hold when the prescribed curvature is either close to a Zoll one or large enough.
DOI
10.4310/JSG.2022.v20.n1.a3
Archivio
https://hdl.handle.net/20.500.11767/150913
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85140113102
https://arxiv.org/abs/1902.01262
https://ricerca.unityfvg.it/handle/20.500.11767/150913
Diritti
closed access
license:non specificato
license uri:na
google-scholar
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