On the nonexistence of CR functions on Levi-flat CR manifolds

Autores: Takashi Inaba
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 43, Fasc. 1, 1992, págs. 83-87
Idioma: inglés
Títulos paralelos:
- Sobre la no existencia de funciones CR en variedades CR planas de Levi
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Resumen
- We show that no compact Levi-flat CR manifold of CR codimension one admits a continuous CR function which is nonconstant along leaves of the Levi foliation. We also prove the nonexistence of certain CR functions on a neighborhood of a compact leaf of some Levi-flat CR 3-manifolds, and apply it to showing that some foliated 3-manifolds cannot be embedded as smooth Levi-flat real hypersurfaces in complex surfaces.