The nonimbeddability of real hypersurfaces in spheres
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- by James J. Faran PDF
- Proc. Amer. Math. Soc. 103 (1988), 902-904 Request permission
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 ${S^{2N - 1}} \subset {{\mathbf {C}}^{2N}}$.References
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- László Lempert, Imbedding strictly pseudoconvex domains into a ball, Amer. J. Math. 104 (1982), no. 4, 901–904. MR 667541, DOI 10.2307/2374211
Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 103 (1988), 902-904
- MSC: Primary 32F15; Secondary 32H35
- DOI: https://doi.org/10.1090/S0002-9939-1988-0947678-6
- MathSciNet review: 947678