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The images of levi-nondegenerate manifolds under holomorphic mappings

 

作者: A. V. Isaev,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1995）
卷期: Volume 27, issue 3  

页码: 217-233

 

ISSN:0278-1077

 

年代: 1995

 

DOI:10.1080/17476939508814819

 

出版商: Gordon and Breach Science Publishers

 

关键词: 32F25

 

数据来源: Taylor

 

摘要:

We prove that the Jacobian of a locally defined holomorphic mapping between two real-analyticCR-manifoldsM1andM2in, whereM1has a nondegenerate Levi form and satisfies a certain rigidity condition, is identically zero, if it is zero at one point on1. We also give a description of the image of the mapping in terms of the geometry ofM2.

 

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