On the Hans Lewy extension phenomenon in higher codimension
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- by C. D. Hill and G. Taiani
- Proc. Amer. Math. Soc. 91 (1984), 568-572
- DOI: https://doi.org/10.1090/S0002-9939-1984-0746091-0
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Abstract:
In this work the authors extend the results of their paper entitled Families of analytic discs in ${{\mathbf {C}}^n}$ with boundaries on a prescribed $CR$ submanifold. It is proven that a nongeneric CR manifold $M$ whose Lewy form is not identically zero can be extended to a manifold $\tilde M$ of one higher dimension, which is foliated by analytic discs. Moreover this result is used to prove that a sufficiently smooth CR function $f$ on $M$ extends to a function $\tilde f$ which is CR on $\tilde M$.References
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Bibliographic Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 91 (1984), 568-572
- MSC: Primary 32D15; Secondary 32F30
- DOI: https://doi.org/10.1090/S0002-9939-1984-0746091-0
- MathSciNet review: 746091