A Fourier approach to Gromov's filling area conjecture

Le Chen, Xiaolong Li, Yimin Zhong

We prove that every compact connected Riemannian isometric filling $M$ of a circle of length $2\pi$ satisfies $\mathrm{Area}(M)\ge \frac{14\zeta (3)}{\pi }\approx 5.35677$, regardless…