A Note on the Bergman metric of Bounded homogeneous Domains
A Note on the Bergman metric of Bounded homogeneous Domains
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DOI：
10.1017/s0027763000009399
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发表时间：
2007-12
影响因子：
0.8
通讯作者：
C. Kai;T. Ohsawa
中科院分区：
文献类型：
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作者：
C. Kai;T. Ohsawa
本文证明了有界齐次区域的Bergman度量有一个势函数，其梯度关于Bergman度量有一个常数范数，并且这个常数与势函数的选择无关。
Abstract We show that the Bergman metric of a bounded homogeneous domain has a potential function whose gradient has a constant norm with respect to the Bergman metric, and further that this constant is independent of the choice of such a potential function.