Proyecciones Journal of Mathematics
Vol. 28, N° 2, pp. 141-153, August 2009.
Universidad Católica del Norte
Antofagasta - Chile


DISQUES J-HOLOMORPHES CONTENUS DANS UNE HYPERSURFACE


Emmanuel Mazzilli

Université Be Lille 1, France


Correspondencia a:

Abstract

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.

Subjclass [2000] : Primary 53D40, 53D12; Secondary 37D15.

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EMMANUEL MAZZILLI
E. M.: UFR de Mathématiques
Université de Lille 1
59655 Villeneuve d'Ascq
France
e-mail : mazzilli@math.univ-lillel.fr

Received : October 2008. Accepted : June 2009