Let M ⊂ ℂN be a connected real-analytic hypersurface and double-struck S2N′-1 ⊂ ℂN′ the unit real sphere, N′ > N ≥ 2. Assume that M does not contain any complex-analytic hypersurface of ℂN and that there exists at least one strongly pseudoconvex point on M. We show that any CR map f : M → double-struck S2N′-1 of class CN′-N+1 extends holomorphically to a neighborhood of M in ℂN.
|Number of pages||11|
|Journal||Mathematical Research Letters|
|Publication status||Published - Jul 2003|
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