Foliations by stationary disks of almost complex domains

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We study the problem of existence of stationary disks for domains in almost complex manifolds. As a consequence of our results, we prove that any almost complex domains which is a small deformations of a strictly linearly convex domain $D \subset C^n$ with standard complex structure admits a singular foliation by stationary disks passing through any given internal point. Similar results are given for foliation by stationary disks through a given boundary point
22 pages

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Complex Variables, 32Q60; 32Q65; 32H40; 32G05.

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http://salesiana.dossiersoluciones.com/handle/123456789/230117

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0905.1905
 http://arxiv.org/abs/0905.1905

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arXiv