DISQUES J-HOLOMORPHES CONTENUS DANS UNE HYPERSURFACE
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 sympl...
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Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2009
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Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000200004 |
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Sumario: | 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. |
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