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Liouville-type theorems for foliations with complex leaves

Giuseppe Della Sala (2010)

Annales de l’institut Fourier

In this paper we discuss various problems regarding the structure of the foliation of some foliated submanifolds S of 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 complex leaves of its foliation are planes.

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