Local Criteria for Non-Embeddability of Levi-Flat Manifolds

2016/03/31 by Takayuki Koike, Noboru Ogawa · 6 citations
Mathematics · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #Mathematics #Pure mathematics #math.CV #math.GT

paper · pdf · doi:10.1007/s12220-017-9853-9

published in Journal of Geometric Analysis 28(2), 1052-1077 (Springer Science+Business Media) · 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

arxiv created 2017/04/15 · arxiv updated 2017/04/18 · openalex publication_date 2017/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• 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
• Compact leaves of codimension one holomorphic foliations on projective manifolds