2016/07/10 by Fusheng Deng, Deng, Fusheng, John Erik Fornæss +3
Mathematics · #32C15 #32H02 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Holomorphic and Operator Theory
paper · pdf · doi:10.48550/arxiv.1607.02755
openalex publication_date 2016/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove that all locally exposable points in a Stein compact in a complex space can be exposed along a given curve to a given real hypersurface. Moreover, the exposing map for a boundary point can be sufficiently close to the identity map outside any fixed neighborhood of the point. We also prove a parametric version of this result for bounded strongly pseudoconvex domains in \mathbb Cn. For a bounded strongly pseudoconvex domain in \mathbb Cn and a given boundary point of it, we prove that there is a global coordinate change on the closure of the domain which is arbitrarily close to the identity map with respect to the C1-norm and maps the boundary point to a strongly convex boundary point.