2 problems

Boundary-strata conjecture. If $j$ is even, then $\beta|_{\mathsf{\int}(\partial_j^+X(v_\beta))}$ is a contact form away from a set of measure zero, and

Let $M$ be a compact contact manifold, and let $\{X_t\}$, $t\in[0,1]$, be a smooth homotopy through Reeb vector fields. A sky catastrophe is the phenomenon excluded by the stated g…