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Local Criteria for Non-Embeddability of Levi-Flat Manifolds

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Abstract

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.

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Acknowledgements

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. Department of Mathematics, Graduate School of Science, Kyoto University, Kyoto, 606-8502, Japan

    Takayuki Koike

  2. Department of Mathematics, Tokai University, 4-1-1 Kitakaname, Hiratsuka-shi, Kanagawa, 259-1292, Japan

    Noboru Ogawa

Authors
  1. Takayuki Koike
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  2. Noboru Ogawa
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Correspondence to Noboru Ogawa.

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Koike, T., Ogawa, N. Local Criteria for Non-Embeddability of Levi-Flat Manifolds. J Geom Anal 28, 1052–1077 (2018). https://doi.org/10.1007/s12220-017-9853-9

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  • DOI: https://doi.org/10.1007/s12220-017-9853-9

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