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arXiv · 1406.5712

Non existence of Levi flat hypersurfaces with positive normal bundle in compact K\"ahler manifolds of dimension at least 3

Séverine Biard·Andrei Iordan
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Abstract

We prove that the normal bundle to the Levi foliation of a smooth Levi flat hypersurface does not admit a Hermitian metric with positive curvature along the leaves in compact K\"ahler manifolds of dimension at least 3. This represents an answer to a conjecture of Marco Brunella.

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Séverine Biard, Andrei Iordan. 2014-06-22. Non existence of Levi flat hypersurfaces with positive normal bundle in compact K\"ahler manifolds of dimension at least 3. https://doi.org/10.1142/s0129167x20500044

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