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.
On a systolic inequality for closed magnetic geodesics on surfaces / Benedetti, G.; Kang, J.. - In: JOURNAL OF SYMPLECTIC GEOMETRY. - ISSN 1527-5256. - 20:1(2022), pp. 99-134. [10.4310/JSG.2022.v20.n1.a3]
On a systolic inequality for closed magnetic geodesics on surfaces
Benedetti G.;
2022-01-01
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.File in questo prodotto:
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