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Liouville-type theorems for foliations with complex leaves

Authors
  • Della Sala, Giuseppe
Type
Preprint
Publication Date
Aug 11, 2007
Submission Date
Aug 11, 2007
Identifiers
arXiv ID: 0708.1550
Source
arXiv
License
Unknown
External links

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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