Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9518681 | Annales Scientifiques de l'École Normale Supérieure | 2005 | 19 Pages |
Abstract
We show that there is no immersed compact Levi-flat hypersurface of class C1 in the complex projective plane, if the foliation by holomorphic curves carries a harmonic current which is absolutely continuous with respect to the Lebesgue measure, with a density bounded from above and below. This is a corollary of a rigidity result for immersed compact Levi-flat hypersurfaces in complex surfaces of non-negative curvature.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Bertrand Deroin,