Null holomorphic curves in $\mathbb C^3$ and the conformal Calabi-Yau problem

Antonio Alarcon; Franc Forstneric

doi:10.1007/978-3-319-20337-9

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arXiv · 1311.1985

Null holomorphic curves in $\mathbb C^3$ and the conformal Calabi-Yau problem

Antonio Alarcon·Franc Forstneric

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Abstract

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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Antonio Alarcon, Franc Forstneric. 2013-11-08. Null holomorphic curves in $\mathbb C^3$ and the conformal Calabi-Yau problem. https://doi.org/10.1007/978-3-319-20337-9

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