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Holomorphic mappings into bounded complete reinhardt domains of holomorphy which are kobayashi isometries at one point

 

作者: Hidetaka Hamada,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1997）
卷期: Volume 32, issue 3  

页码: 289-297

 

ISSN:0278-1077

 

年代: 1997

 

DOI:10.1080/17476939708814996

 

出版商: Gordon and Breach Science Publishers

 

关键词: biholomorphic;complex geodesic;infinitesimal Kobayashi metric;Reinhardt domain;taut;32H15;32H15

 

数据来源: Taylor

 

摘要:

LetMbe a connected taut complex manifold of dimensionnsuch that the setH(M) of holomorphic functions onMseparates points ofMand letDbe a bounded complete Reinhardt domain of holomorphy inLetf:M→Dbe a holomorphic mapping. Letpbe a point ofM. Assume thatf(p)=0 and thatdfpis an isometry for the infinitesimal Kobayashi metric, in this case, we will show thatfis a biholomorphic mapping

 

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