拟凸Hartogs域到复空间形式的全纯等距嵌入映射的存在性

Kahler Immersions of Pseudoconvex Hartogs Domains into Complex Space Forms

在C^n中的有界拟凸Hartogs域Ω上,存在一个自然的K?hler度量g^Ω.该文将研究有界拟凸Hartogs域(Ω,hg^Ω)到复空间形式的全纯等距嵌入映射的存在性问题.

LetΩbe a bounded pseudoconvex Hartogs domain in C^n.There exists a natural K?hler metric g^Ωin terms of its defining function.In this paper,we study the existence of K?hler immersions of(Ω,hg^Ω)into finite and infinite dimensional complex space forms for h>0.