On the normal bundle of Levi-flat real hypersurfaces
Complex Variables
2019-09-25 v2 Differential Geometry
Dynamical Systems
Abstract
Let be a connected complex manifold of dimension and a smooth compact Levi-flat real hypersurface in . 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.
Keywords
Cite
@article{arxiv.1804.06884,
title = {On the normal bundle of Levi-flat real hypersurfaces},
author = {Judith Brinkschulte},
journal= {arXiv preprint arXiv:1804.06884},
year = {2019}
}
Comments
minor changes, final version, in Math. Ann. (online first)