4 papers · 1 filter
Biholomorphic mapping on the boundary I
Won K. Park
We study on the biholomorphic equivalence of a strongly pseudoconvex bounded domain with differentiable spherical boundary to an open ball, and we study on the biholomorphicity of…
Analytic continuation of a biholomorphic mapping
Won K. Park
We present a new proof of Pinchuk's theorem on the analytic continuation of a biholomorphic mapping from a strongly pseudoconvex analytic real hypersurface to a compact strongly ps…
Umbilic points and Real hyperquadrics
Won K. Park
We show a refined version of the existence and uniqueness theorem to Chern-Moser normal form. The class of nondegenerate real hypersurfaces in normal form has a natural group actio…
Normal forms of real hyepersurfaces with nondegenerate Levi form
Won K. Park
We present a proof of the existence and uniqueness theorem of a normalizing biholomorphic mapping to Chern-Moser normal form. The explicit form of the equation of a chain on a real…