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Holomorphic maps into complex ellipsoids which are kobayashi isometries at one point

 

作者: Hidetaka Hamada,   Tatsuhiro Honda,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1998）
卷期: Volume 36, issue 1  

页码: 67-71

 

ISSN:0278-1077

 

年代: 1998

 

DOI:10.1080/17476939808815100

 

出版商: Gordon and Breach Science Publishers

 

关键词: Biholomorphic;complex ellipsoid;complex geodesic;infinitesimal Kobayashi metric;taut;32H15;32A07

 

数据来源: Taylor

 

摘要:

LetMbe a connected taut complex manifold of dimensionnand letDbe a bounded balanced pseudoconvex domain inwith continuous Minkowski function. Assume that there exist a finite number of complex hyperplanesHjthrough the origin such that every point ofis an extreme point for . Letf:→Dbe a holomorphic map. 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 map.

 

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