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arXiv · 1510.06923

Twistor lifts and factorization for conformal maps from a surface to the Euclidean four-space

Kazuyuki Hasegawa·Katsuhiro Moriya
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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.

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Kazuyuki Hasegawa, Katsuhiro Moriya. 2016-11-15. Twistor lifts and factorization for conformal maps from a surface to the Euclidean four-space. https://doi.org/10.1007/s00006-016-0728-0

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