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Nonexistence of Levi flat hypersurfaces with positive normal bundle in compact Kähler manifolds of dimension ≥3.
- Source :
-
International Journal of Mathematics . Jan2020, Vol. 31 Issue 1, pN.PAG-N.PAG. 14p. - Publication Year :
- 2020
-
Abstract
- Let X be a compact connected Kähler manifold of dimension ≥ 3 and L a C ∞ Levi flat hypersurface in X. Then the normal bundle to the Levi foliation does not admit a Hermitian metric with positive curvature along the leaves. This represents an answer to a conjecture of Marco Brunella. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0129167X
- Volume :
- 31
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- International Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 141563803
- Full Text :
- https://doi.org/10.1142/S0129167X20500044