Genus zero transverse foliations for weakly convex Reeb flows on the tight $3$-sphere

Naiara V. de Paulo, Umberto Hryniewicz, Seongchan Kim +1

A contact form on the tight $3$-sphere $(S^3,{\xi }_0)$ is called weakly convex if the Conley-Zehnder index of every Reeb orbit is at least $2$. In this article, we study Reeb flows of…