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Null holomorphic curves in ▫$\mathbb{C}^3$▫ and the conformal Calabi-Yau problem
Alarcón, Antonio ; Forstnerič, Franc, 1958-
In this paper we survey some recent contributions by the authors to the theory of null holomorphic curves in the complex Euclidean space ▫$\mathbb C^3$▫, as well as their applications to null ...holomorphic curves in the special linear group ▫$SL_2(\mathbb C)$▫, minimal surfaces in the Euclidean space ▫$\mathbb R^3$▫, and constant mean curvature one surfaces (Bryant surfaces) in the hyperbolic 3-space ▫$\mathbb H^3$▫. The paper is an expanded version of the lecture given by the second named author at the Abel Symposium in Trondheim, Norway, in July 2013.
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