The Journal of Geometric Analysis

, Volume 28, Issue 2, pp 1052–1077 | Cite as

Local Criteria for Non-Embeddability of Levi-Flat Manifolds

  • Takayuki Koike
  • Noboru OgawaEmail author


We give local criteria for smooth non-embeddability 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.


Levi-flat manifolds Ueda theory Pseudo-flat neighborhoods 

Mathematics Subject Classification

32V30 (Embeddings of CR manifolds) 37F75 (Holomorphic foliations and vector fields) 14B20 (Formal neighborhoods) 



The authors would like to thank the anonymous reviewers for their careful reading of our manuscript. The first author is supported by the Grant-in-Aid for Scientific Research (KAKENHI No.25-2869).


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Authors and Affiliations

  1. 1.Department of Mathematics, Graduate School of ScienceKyoto UniversityKyotoJapan
  2. 2.Department of MathematicsTokai UniversityHiratsuka-shiJapan

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