Title: The Weinstein conjecture for iterated planar contact structures,
Abstract: In this paper, we introduce the notions of an iterated planar Lefschetz
fibration and an iterated planar open book decomposition and prove the
Weinstein conjecture for contact manifolds supporting an open book that has
iterated planar pages. For $n\geq 1$, we show that a $(2n+1)$-dimensional
contact manifold $M$ supporting an iterated planar open book decomposition
satisfies the Weinstein conjecture.