On Levi flat hypersurfaces with transversely affine foliation
Masanori Adachi, Severine Biard
TL;DR
This paper proves that certain Levi flat hypersurfaces with transversely affine foliations cannot exist in compact Kähler surfaces if their complement is 1-convex, highlighting restrictions on their geometric structure.
Contribution
It establishes a non-existence result for real analytic Levi flat hypersurfaces with transversely affine Levi foliations in specific complex geometric settings.
Findings
No such Levi flat hypersurfaces exist under the given conditions.
The complement being 1-convex imposes strong restrictions.
The result applies to compact Kähler surfaces.
Abstract
We prove the non-existence of real analytic Levi flat hypersurface whose complement is 1-convex and Levi foliation is transversely affine in compact Kahler surfaces.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.