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The Weinstein Conjecture for Planar Contact Structures in Dimension Three
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The Weinstein Conjecture for Planar Contact Structures in Dimension Three
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In this paper we describe a general strategy for approaching the Weinstein conjecture in dimension three. We apply this approach to prove the Weinstein conjecture for a new class of contact manifolds (planar contact manifolds). We also discuss how the present approach reduces the general Weinstein conjecture in dimension three to a compactness problem for the solution set of a first order elliptic PDE.
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