Foliations by stationary disks of almost complex domains

Details Foliations by stationary disks of almost complex domains Foliations by stationary disks of almost complex domains

2009-05-12

arxiv.org/abs/0905.1905v1

Mathematics

Complex Variables

22 pages

Scientific paper

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

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