Disques j-holomorphes contenus dans une hypersurface

• Mazzilli, Emmanuel ^[1]
  1. [1] The BE Vedeneev All Russia Institute of Hydraulic Engineering

     The BE Vedeneev All Russia Institute of Hydraulic Engineering

     Rusia

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 28, Nº. 2, 2009, págs. 141-153
• Idioma: inglés
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• Resumen

  • We study germs of J-Holomorphic curves contained in M, a real analytic hypersurface of an symplectic manifold of dimension 4- We show, under topological hypothesis on M, that if M is compact then M is of finite type and so there is no germs of J-holomorphic curves on M (with J adapted with the symplectic form). In C2 with the standard complex structure, this is a classical result of Diederich-Fornaess.