The Weinstein conjecture for planar contact structures in dimension three

• Autores: Casin Abbas, Kai Cieliebak, Helmut Homer
• Localización: Commentarii mathematici helvetici, ISSN 0010-2571, Vol. 80, Nº 4, 2005, págs. 771-793
• Idioma: inglés
• DOI: 10.4171/cmh/34
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• Resumen

  • 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.