Twistor Lifts and Factorization for Conformal Maps from a Surface to the Euclidean Four-space

被引：0
作者：
Kazuyuki Hasegawa
Katsuhiro Moriya
机构：
[1] Kanazawa University,Faculty of Teacher Education, Institute of Human and Social Sciences
[2] University of Tsukuba,Division of Mathematics, Faculty of Pure and Applied Sciences
来源：
Advances in Applied Clifford Algebras | 2017年 / 27卷
关键词：
Conformal map; Twistor space; Super-conformal map; Primary 53A07; Secondary 53C28; 53A10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A conformal map from a Riemann surface to the Euclidean four-space is explained in terms of its twistor lift. A local factorization of a differential of a conformal map is obtained. As an application, the factorization of a differential provides an upper bound of the area of a super-conformal map around a branch point.
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页码：1243 / 1262
页数：19
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