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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The nonimbeddability of real hypersurfaces in spheres


Author: James J. Faran
Journal: Proc. Amer. Math. Soc. 103 (1988), 902-904
MSC: Primary 32F15; Secondary 32H35
MathSciNet review: 947678
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Abstract: It is shown that there exist real analytic real hypersurfaces in $ {{\mathbf{C}}^n}$ which cannot be locally holomorphically imbedded in any finite dimensional sphere $ {S^{2N - 1}} \subset {{\mathbf{C}}^{2N}}$.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0947678-6
PII: S 0002-9939(1988)0947678-6
Article copyright: © Copyright 1988 American Mathematical Society