Liouville-type theorems for foliations with complex leaves

Details Liouville-type theorems for foliations with complex leaves Liouville-type theorems for foliations with complex leaves

2007-08-11

arxiv.org/abs/0708.1550v1

Mathematics

Complex Variables

31 pages, no figures

Scientific paper

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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