Twistor lifts and factorization for conformal maps from a surface to the Euclidean four-space
arXiv:1510.06923 · doi:10.1007/s00006-016-0728-0
Abstract
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.
18 pages, title changed, contents reduced