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arxiv: 0708.1550 · v1 · submitted 2007-08-11 · 🧮 math.CV

Liouville-type theorems for foliations with complex leaves

classification 🧮 math.CV
keywords complexfoliationleavesalongboundedcoordinatecoordinatesdiscuss
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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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