Sharp systolic inequalities for Reeb flows on the three-sphere

A. Abbondandolo, B. Bramham, U. L. Hryniewicz +1

The systolic ratio of a contact form $\alpha$ on the three-sphere is the quantity \[ ρ_{\mathrm{sys}}(α) = \frac{T_{\min}(α)^2}{\mathrm{vol}(S^3,α\wedge dα)}, \] where $T_{\min }(\alpha )$ is…