Details

Autor(en) / Beteiligte

• Park, Won-K

Titel

NORMALIZING MAPPINGS OF AN ANALYTIC GENERIC CR MANIFOLD WITH ZERO LEVI FORM

Ist Teil von

• Journal of the Korean Mathematical Society, 2000, Vol.37 (4), p.503-519

Erscheinungsjahr

2000

Quelle

EZB Electronic Journals Library

Beschreibungen/Notizen

• It is well-known that an analytic generic CR submainfold M of codimension m in Cn+m is locally transformed by a biholomorphic mapping to a plane Cn$\times$Rm ⊂ Cn$\times$Cm whenever the Levi form L on M vanishes identically. We obtain such a normalizing biholomorphic mapping of M in terms of the defining function of M. Then it is verified without Frobenius theorem that M is locally foliated into complex manifolds of dimension n.