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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Universidad Católica del Norte, Departamento de Matemáticas
2009
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oai:scielo:S0716-091720090002000042014-08-12DISQUES J-HOLOMORPHES CONTENUS DANS UNE HYPERSURFACEMazzilli,EmmanuelWe 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.28 n.2 20092009-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000200004en10.4067/S0716-09172009000200004 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| description |
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. |
| author |
Mazzilli,Emmanuel |
| spellingShingle |
Mazzilli,Emmanuel DISQUES J-HOLOMORPHES CONTENUS DANS UNE HYPERSURFACE |
| author_facet |
Mazzilli,Emmanuel |
| author_sort |
Mazzilli,Emmanuel |
| title |
DISQUES J-HOLOMORPHES CONTENUS DANS UNE HYPERSURFACE |
| title_short |
DISQUES J-HOLOMORPHES CONTENUS DANS UNE HYPERSURFACE |
| title_full |
DISQUES J-HOLOMORPHES CONTENUS DANS UNE HYPERSURFACE |
| title_fullStr |
DISQUES J-HOLOMORPHES CONTENUS DANS UNE HYPERSURFACE |
| title_full_unstemmed |
DISQUES J-HOLOMORPHES CONTENUS DANS UNE HYPERSURFACE |
| title_sort |
disques j-holomorphes contenus dans une hypersurface |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2009 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172009000200004 |
| work_keys_str_mv |
AT mazzilliemmanuel disquesjholomorphescontenusdansunehypersurface |
| _version_ |
1718439763532316672 |