Abstract

(Bull. London Math. Soc. 43 (2011) 191–199) In the paper referred to in the title, we gave several applications of the completeness lemma used by Osserman to show the meromorphicity of Weierstrass data for complete minimal surfaces with finite total curvature. However, an error in the proof of Theorem A implies that there is an important remaining problem about constant mean curvature 1 surfaces in de Sitter 3-space. The purpose here is to correct the previous paper and discuss the remaining problem.

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