关于曲面上闭磁测地线的收缩不等式
辛几何
2019-02-07 v2 微分几何
摘要
我们将三维流形上接触形式与奇辛几何形式的局部收缩-舒张不等式，应用于界定具有给定测地曲率（亦称磁测地线）的闭曲线在可定向闭曲面上的磁长度。当给定曲率邻近Zoll曲率或足够大时，我们的结果成立。
引用
@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}
}
备注
26 pages, a revised version of Part III in "A local systolic-diastolic inequality in contact and symplectic geometry" arXiv:1801.00539 (now withdrawn)