Twistor Lifts and Factorization for Conformal Maps from a Surface to the Euclidean Four-space
Twistor Lifts and Factorization for Conformal Maps from a Surface to the Euclidean Four-space
复制标题
从曲面到欧几里得四空间的共形映射的扭力升力和因式分解
DOI：
10.1007/s00006-016-0728-0
复制
发表时间：
2017
影响因子：
1.5
通讯作者：
Katsuhiro Moriya
中科院分区：
文献类型：
--
作者：
Kazuyuki Hasegawa;Katsuhiro Moriya
从黎曼曲面到欧几里得四空间的共形映射用其扭量升力来解释。获得共形映射的微分的局部因式分解。作为一种应用，微分的分解提供了分支点周围的超共形映射的面积的上限。
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.