On Levi flat hypersurfaces with transversely affine foliation
Résumé
We prove the non-existence of real analytic Levi flat hypersurface whose complement is 1-convex and Levi foliation is transversely affine in a compact Kähler surface.
Mots clés
Abstract We prove the non-existence of real analytic Levi flat hypersurface whose complement is 1-convex and Levi foliation is transversely affine in a compact Kähler surface. © 2021
The Author(s)
under exclusive licence to Springer-Verlag GmbH Germany
part of Springer Nature. Author keywords Integrable connection
Levi flat
Pseudoconvexity
Transversely affine foliation