Local criteria for non embeddability of Levi-flat manifolds
Complex Variables
2017-04-18 v3 Geometric Topology
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.
Keywords
Cite
@article{arxiv.1603.09692,
title = {Local criteria for non embeddability of Levi-flat manifolds},
author = {Takayuki Koike and Noboru Ogawa},
journal= {arXiv preprint arXiv:1603.09692},
year = {2017}
}
Comments
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