The nonimbeddability of real hypersurfaces in spheres-Reference-Cited by-同舟云学术

The nonimbeddability of real hypersurfaces in spheres

Published:1988 Issue:3 Volume:103 Page:902-904
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Faran James J.

Abstract

It is shown that there exist real analytic real hypersurfaces in C n {{\mathbf {C}}^n} which cannot be locally holomorphically imbedded in any finite dimensional sphere S 2 N − 1 ⊂ C 2 N {S^{2N - 1}} \subset {{\mathbf {C}}^{2N}} .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1988-103-03/S0002-9939-1988-0947678-6/S0002-9939-1988-0947678-6.pdf

Reference4 articles.

1. Real hypersurfaces in complex manifolds;Chern, S. S.;Acta Math.,1974

2. Monge-Ampère equations, the Bergman kernel, and geometry of pseudoconvex domains;Fefferman, Charles L.;Ann. of Math. (2),1976

3. H. Poincaré, Les fonctions analytiques de deux variables et la represéntation conforme, Rend. Circ. Mat. Palermo 23 (1907), 185-220.

4. Imbedding strictly pseudoconvex domains into a ball;Lempert, László;Amer. J. Math.,1982

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