Complex submanifolds in real-analytic pseudoconvex hypersurfaces

AUTOR(ES)
RESUMO

A theorem is given that guarantees the existence of nontrivial complex analytic submanifolds in real-analytic pseudoconvex boundaries near real-analytic submanifolds with holomorphic vectorfields on which the Levi form vanishes. Applications to the δ̄-Neumann problem and to the existence of Stein neighborhoods are discussed.

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