Local criteria for non embeddability of Levi-flat manifolds

Abstract

We give local criteria for smooth non-embeddablity of Levi-flat manifolds. For this purpose, we pose an analogue of Ueda theory on the neighborhood structure of hypersurfaces in complex manifolds with topologically trivial normal bundles.

Final version, to appear in J. Geom. Anal. The final publication is available at Springer via http://dx.doi.org/10.1007/s12220-017-9853-9

References in corpus (3)

• Curvature restrictions for Levi-flat real hypersurfaces in complex projective planes
• Reeb components with complex leaves and their symmetries I : The automorphism groups and Schröder's equation on the half line
• Reeb components of leafwise complex foliations and their symmetries III

Cited by in corpus (2)

• Reeb components with complex leaves and their symmetries I : The automorphism groups and Schröder's equation on the half line
• Higher codimensional Ueda theory for a compact submanifold with unitary flat normal bundle