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Levi-flat hypersurfaces immerged in complex surfaces of positive curvature
- Source :
-
Comptes Rendus. Mathématique . Dec2003, Vol. 337 Issue 12, p777. 4p. - Publication Year :
- 2003
-
Abstract
- We prove that there is no Levi-flat immersion of class <f>C1</f> of a Riemann surface foliation of class <f>C1</f> of a <f>3</f>-dimensional compact manifold in the complex projective plane, if the foliation carries a harmonic current which is absolutely continuous with respect to Lebesgue measure, with a density bounded from above and below. This comes as a corollary of a rigidity result for Levi-flat immersions of class <f>C1</f> of Riemann surface foliations having this regularity into complex surfaces of non negative Ricci curvature. To cite this article: B. Deroin, C. R. Acad. Sci. Paris, Ser. I 337 (2003). [Copyright &y& Elsevier]
Details
- Language :
- French
- ISSN :
- 1631073X
- Volume :
- 337
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Comptes Rendus. Mathématique
- Publication Type :
- Academic Journal
- Accession number :
- 11606071
- Full Text :
- https://doi.org/10.1016/j.crma.2003.09.016