Stability of Stein structures on the Euclidean space

Publication date: 22 January 2007

Abstract: We give a characterization of the complex Euclidean space C^n, proving a global Newlander-Nirenberg's theorem on the representability of complex structures close to the standard complex structure on C^n.

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Deformations of complex structures (32G05)

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