论文标题
当地的收缩不平等和格罗莫夫的填充区域猜想
A local systolic inequality and Gromov's filling area conjecture
论文作者
论文摘要
本文将有关格罗莫夫的填充区域猜想的一些问题对待。它打算表明，任何填充卷$ <2π$的填充都将无法获得并显示当地的收缩不平等，这意味着对总数的先验估计值较低。两种断言的证据，第二个断言是错误的，都遭受了计算错误。
The article treats some questions around Gromov's filling area conjecture. It intended to show that any filling with volume $< 2 π$ would not be attained and to show a local systolic inequality, implying an a priori lower estimate on the total volume. The proof of both assertions, the second of which is wrong, suffered from a computational mistake.
