On a systolic inequality for closed magnetic geodesics on surfaces
Symplectic Geometry
2019-02-07 v2 Differential 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.
Keywords
Cite
@article{arxiv.1902.01262,
title = {On a systolic inequality for closed magnetic geodesics on surfaces},
author = {Gabriele Benedetti and Jungsoo Kang},
journal= {arXiv preprint arXiv:1902.01262},
year = {2019}
}
Comments
26 pages, a revised version of Part III in "A local systolic-diastolic inequality in contact and symplectic geometry" arXiv:1801.00539 (now withdrawn)