On the Riemann mapping theorem

• 成果类型: Article
• 署名作者: Chern, SS; Ji, SY
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.2307/2118596
• 发表日期: 1996
• 页码: 421-439
• 关键词: hypersurfaces

摘要

We prove a generalization of the Riemann mapping theorem: if a bounded simply connected domain Omega with connected smooth boundary has the spherical boundary, then it is biholomorphic to the unit ball.