Twistor transforms of quaternionic functions and orthogonal complex structures
Twistor transforms of quaternionic functions and orthogonal complex structures
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DOI：
10.4171/jems/488
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发表时间：
2012-05
期刊：
影响因子：
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通讯作者：
G. Gentili;S. Salamon;C. Stoppato
中科院分区：
文献类型：
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作者：
G. Gentili;S. Salamon;C. Stoppato
The theory of slice regular functions of a quaternion variable is applied to the study of orthogonal complex structures on domains \Omega\ of R^4. When \Omega\ is a symmetric slice domain, the twistor transform of such a function is a holomorphic curve in the Klein quadric. The case in which \Omega\ is the complement of a parabola is studied in detail and described by a rational quartic surface in the twistor space CP^3.
