Abstract

Let M be a connected strongly pseudoconvex real analytic hypersurface in Cn+1. Suppose that (M, p) is of maximal rank for any pM. It is shown that the following two statements are equivalent: (i) There exists a certain point p0M such that (M, p0) is CR isomorphic to a germ of a real algebraic hypersurface. (ii) For any point pM, (M, p) is CR isomorphic to a germ of a real algebraic hypersurface.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 1083-1102
Launched on MUSE
2002-11-26
Open Access
No
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