Abstract
Let [Formula: see text] be a compact connected Kähler manifold of dimension [Formula: see text] and [Formula: see text] a [Formula: see text] Levi flat hypersurface in [Formula: see text]. 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.
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