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| HAL: hal-00000523, version 1 |
| arXiv: math.CV/0307332 |
| Detailed view |  Export this paper |
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| Riemann maps in almost complex manifolds |
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| B. Coupet 1H. Gaussier 1 |
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| (2003-07-25) |
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| We prove the existence of stationary discs in the ball for small almost complex deformations of the standard structure. We define a local analogue of the Riemann map and establish its main properties. These constructions are applied to study the local geometry of almost complex manifolds and their morphisms. |
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| 1: | Laboratoire d'Analyse, Topologie, Probabilités (LATP) |
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CNRS : UMR6632 – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III |
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| 2: | Laboratoire Paul Painlevé (LPP) |
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CNRS : UMR8524 – Université Lille I - Sciences et technologies |
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| Subject | : | Mathematics/Complex Variables Mathematics/Symplectic Geometry Mathematics/Differential Geometry |
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| hal-00000523, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00000523 | |
| oai:hal.archives-ouvertes.fr:hal-00000523 | |
| From: Herve Gaussier | |
| Submitted on: Friday, 25 July 2003 11:02:56 | |
| Updated on: Friday, 25 July 2003 11:43:50 | |
