一类特殊域之间的逆紧全纯自映射  

Proper Holomorphic Self-maps Between a Kind of Special Domains

作　　者：刘洋[1] 韩静[1] 宋薇[1] 

机构地区：[1]同济大学应用数学系,上海200092

出　　处：《同济大学学报（自然科学版）》2007年第1期112-115,共4页Journal of Tongji University:Natural Science

基　　金：国家自然科学基金资助项目(10271089)

摘　　要：证明了由极小球构成的Hartogs三角形的逆紧全纯自映射的刚性定理.主要利用了逆紧全纯自映射将边界映到边界的性质和极小球的自同构映射,找到了Hartogs三角形的逆紧全纯自映射的具体表达式,从而证明了Hartogs三角形的逆紧全纯自映射都是Hartogs三角形的自同构映射.This paper introduces the rigidity of the proper holomorphic self-maps between the hartogs triangles structured by the minimal ball. The properties of proper holomorphic self-maps＇ that they maps the boundary to the boundary are used in combination with automorphic maps of minimal ball to find the explicit expression of the proper holomorphic self-maps of the hartogs triangle. It is proved that the proper holomorphic self-maps between the hartogs triangles are automorphic maps between the hartogs triangles.

关 键 词：全纯逆紧映射 极小球 刚性 

分 类 号：O174.56[理学—数学]