Analytic regularity of CR maps into spheres

Research output: Contribution to journalArticle

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Abstract

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.

Original languageEnglish
Pages (from-to)447-457
Number of pages11
JournalMathematical Research Letters
Volume10
Issue number4
Publication statusPublished - Jul 2003
Externally publishedYes

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Hypersurface
Regularity
Pseudoconvex
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ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Analytic regularity of CR maps into spheres. / Mir, Nordine.

In: Mathematical Research Letters, Vol. 10, No. 4, 07.2003, p. 447-457.

Research output: Contribution to journalArticle

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