Loewner's torus inequality with isosystolic defect
英文摘要：
We show that Bonnesen's isoperimetic defect has a systolic analog for Loewner's torus inequality. The isosystolic defect is expressed in terms of the probabilistic variance of the conformal factor of the metric g with respect to the flat metric of unit area in the conformal class of g.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
