Stability of Stein structures on the Euclidean space

2007/01/22 by Hervé Gaussier, Herve Gaussier, Gaussier, Herve +2
Mathematics · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math.CV #msc:32G05 #msc:32H02 #msc:53C15

paper · pdf · doi:10.48550/arxiv.math/0701574

15 pages

arxiv created 2008/10/18 · arxiv updated 2009/12/01

Abstract

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

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