Foliations by stationary disks of almost complex domains |
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Authors: | G. Patrizio A. Spiro |
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Affiliation: | a Dipartimento di Matematica “U. Dini”, Università di Firenze, Firenze, Italy b Dipartimento di Matematica e Informatica, Università di Camerino, Camerino, Italy |
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Abstract: | 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 domain which is a small deformation of a strictly linearly convex domain D⊂Cn with standard complex structure admits a singular foliation by stationary disks passing through any given internal point. Similar results are given for foliations by stationary disks through a given boundary point. |
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Keywords: | 32Q60 32Q65 32H40 32G05 |
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