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The comparison theorem for the bergman and kobayashi metrics on certain pseudoconvex domains*

 

作者: Weiping Yin,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1997）
卷期: Volume 34, issue 4  

页码: 351-373

 

ISSN:0278-1077

 

年代: 1997

 

DOI:10.1080/17476939708815059

 

出版商: Gordon and Breach Science Publishers

 

关键词: Pseudoconvex domain;;holomorphic;sectional curvature;;Bergman metric;;Kobayashi metric;;Comparison theorem;AMS No.32H10;32F15

 

数据来源: Taylor

 

摘要:

The holomorphic sectional curvatures under invariant Kahler metrics on certain pseudoconvex domains E(m, n, K) are given in the explicit forms. In the meantime, we construct an invariant Kahler metric, which is complete and not less than Bergman metric, such that its holomorphic sectional curvature is bounded above by a negative constant. Hence we obtain the comparison theorem for the Bergman and Kobayashi metrics on E(m, n, K).

 

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