Global surfaces of section for dynamically convex Reeb flows on lens spaces

We show that a dynamically convex Reeb flow on the standard tight lens space $(L(p, 1),ξ_{\mathrm{std}})$, $p>1,$ admits a $p$-unknotted closed Reeb orbit $P$ which is the binding of a rational open book decomposition with disk-like pages. Each page is a rational global surface of section for the Re