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We prove that a meromorphic mapping, which sends a peace of a real analytic strictly pseudoconvex hypersurface in to a compact subset of which doesn’t contain germs of non-constant complex curves is continuous from the concave side of the hypersurface. This implies the analytic continuability along CR-paths of germs of holomorphic mappings from real analytic hypersurfaces with non-vanishing Levi form to the locally spherical ones in all dimensions.

生成讲解博客的中文版本

生成AI智能校验的中文版本