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arxiv: 1710.02023 · v1 · pith:INYAVPVEnew · submitted 2017-10-04 · 🧮 math.DG

Non-integrated defect relations for the Gauss map of a complete minimal surface with finite total curvature in mathbb R^m

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keywords completecurvaturedefectfinitegaussmathbbminimalnon-integrated
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In this article, we give the non-integrated defect relations for the Gauss map of a complete minimal surface with finite total curvature in $\mathbb R^m.$ This is a continuation of previous work of Ha-Trao [J. Math. Anal. Appl., \textbf{430} (2015), 76-84.], which we extend here to targets of higher dimension.

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