首页   按字顺浏览 期刊浏览 卷期浏览 Quaternlonic möbius transformations and loxodromes*
Quaternlonic möbius transformations and loxodromes*

 

作者: R. Michael Porter,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1998）
卷期: Volume 36, issue 3  

页码: 285-300

 

ISSN:0278-1077

 

年代: 1998

 

DOI:10.1080/17476939808815114

 

出版商: Gordon and Breach Science Publishers

 

关键词: Quaternion;Möbius transformation;loxodrome;lie algebra;51B10;20G20;15A66

 

数据来源: Taylor

 

摘要:

One-parameter families of quaternionic linear-fractional transformations are defined in terms of the exponential mapping from the Lie algebra of PSL2H. The invariance of loxodromic curves allows us to characterize the fixed points corresponding to the family exp(tX) in terms of the generatorX∈ sl2H. Certain degenerate cases are described; it is shown that for nonplanar loxodromes the generator is unique.

 

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