A systolic inequality for geodesic flows on the two-sphere

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

For a Riemannian metric $g$ on the two-sphere, let ${\ell }_{\min }(g)$ be the length of the shortest closed geodesic and ${\ell }_{\max }(g)$ be the length of the longest simple closed ge…