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arXiv · 1804.06884

On the normal bundle of Levi-flat real hypersurfaces

Judith Brinkschulte
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Abstract

Let $X$ be a connected complex manifold of dimension $\geq 3$ and $M$ a smooth compact Levi-flat real hypersurface in $X$. We show that the normal bundle to the Levi foliation does not admit a Hermitian metric with positive curvature along the leaves. This generalizes a result obtained by Brunella.

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Judith Brinkschulte. 2018-04-18. On the normal bundle of Levi-flat real hypersurfaces. https://doi.org/10.1007/s00208-018-1723-7

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