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Liouville-type theorems for foliations with complex leaves

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Type
Preprint
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Submission Date
Identifiers
arXiv ID: 0708.1550
Source
arXiv
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Abstract

We discuss various problems regarding the structure of the foliation of some foliated submanifolds S of C^n, in particular Levi flat ones. As a general scheme, we suppose that S is bounded along a coordinate (or a subset of coordinates), and prove that the leaves of its foliation are complex planes.

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