Sharp systolic inequalities for Riemannian and Finsler spheres of revolution

Alberto Abbondandolo, Barney Bramham, Umberto L. Hryniewicz +1

We prove that the systolic ratio of a sphere of revolution $S$ does not exceed $\pi$ and equals $\pi$ if and only if $S$ is Zoll. More generally, we consider the rotationally symmetric…